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Journal articles on the topic 'Reductive group schemes'

Author: Grafiati
Published: 5 October 2024

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1

Pan, Yang. "Saturation rank for finite group schemes: Finite groups and infinitesimal group schemes." Forum Mathematicum 30, no. 2 (2018): 479–95. http://dx.doi.org/10.1515/forum-2017-0007.

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AbstractWe investigate the saturation rank of a finite group scheme defined over an algebraically closed field{\Bbbk}of positive characteristicp. We begin by exploring the saturation rank for finite groups and infinitesimal group schemes. Special attention is given to reductive Lie algebras and the second Frobenius kernel of the algebraic group{\operatorname{SL}_{n}}.
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2

González-Avilés, Cristian D. "Abelian class groups of reductive group schemes." Israel Journal of Mathematics 196, no. 1 (2013): 175–214. http://dx.doi.org/10.1007/s11856-012-0147-4.

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3

MCNINCH, GEORGE. "REDUCTIVE SUBGROUP SCHEMES OF A PARAHORIC GROUP SCHEME." Transformation Groups 25, no. 1 (2018): 217–49. http://dx.doi.org/10.1007/s00031-018-9508-3.

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4

Gyoja, Akihiko. "Representations of reductive group schemes." Tsukuba Journal of Mathematics 15, no. 2 (1991): 335–46. http://dx.doi.org/10.21099/tkbjm/1496161661.

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5

Prasad, Gopal, and Jiu-Kang Yu. "On quasi-reductive group schemes." Journal of Algebraic Geometry 15, no. 3 (2006): 507–49. http://dx.doi.org/10.1090/s1056-3911-06-00422-x.

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6

Waterhouse, William C. "Geometrically reductive affine group schemes." Archiv der Mathematik 62, no. 4 (1994): 306–7. http://dx.doi.org/10.1007/bf01201781.

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7

Vasiu, Adrian. "Extension theorems for reductive group schemes." Algebra & Number Theory 10, no. 1 (2016): 89–115. http://dx.doi.org/10.2140/ant.2016.10.89.

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8

Zhao, Yifei. "Tannakian reconstruction of reductive group schemes." Pacific Journal of Mathematics 321, no. 2 (2022): 467–78. http://dx.doi.org/10.2140/pjm.2022.321.467.

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9

Stasinski, Alexander. "Reductive group schemes, the Greenberg functor, and associated algebraic groups." Journal of Pure and Applied Algebra 216, no. 5 (2012): 1092–101. http://dx.doi.org/10.1016/j.jpaa.2011.10.027.

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10

CHANG, HAO, and ROLF FARNSTEINER. "Finite group schemes of p-rank ≤ 1." Mathematical Proceedings of the Cambridge Philosophical Society 166, no. 2 (2017): 297–323. http://dx.doi.org/10.1017/s0305004117000834.

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AbstractLet be a finite group scheme over an algebraically closed field k of characteristic char(k) = p ≥ 3. In generalisation of the familiar notion from the modular representation theory of finite groups, we define the p-rank rkp() of and determine the structure of those group schemes of p-rank 1, whose linearly reductive radical is trivial. The most difficult case concerns infinitesimal groups of height 1, which correspond to restricted Lie algebras. Our results show that group schemes of p-rank ≤ 1 are closely related to those being of finite or domestic representation type.
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11

Alper, Jared. "Adequate moduli spaces and geometrically reductive group schemes." Algebraic Geometry 1, no. 4 (2014): 489–531. http://dx.doi.org/10.14231/ag-2014-022.

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12

Alexeev, Valery, and Michel Brion. "Moduli of affine schemes with reductive group action." Journal of Algebraic Geometry 14, no. 1 (2005): 83–117. http://dx.doi.org/10.1090/s1056-3911-04-00377-7.

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13

Behrend, Kai A. "Semi-stability of reductive group schemes over curves." Mathematische Annalen 301, no. 1 (1995): 281–305. http://dx.doi.org/10.1007/bf01446630.

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14

Anschütz, Johannes. "Reductive group schemes over the Fargues–Fontaine curve." Mathematische Annalen 374, no. 3-4 (2018): 1219–60. http://dx.doi.org/10.1007/s00208-018-1785-6.

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15

Gille, Philippe, and Arturo Pianzola. "Torsors, reductive group schemes and extended affine Lie algebras." Memoirs of the American Mathematical Society 226, no. 1063 (2013): 1. http://dx.doi.org/10.1090/s0065-9266-2013-00679-x.

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16

Chernousov, V., P. Gille, and A. Pianzola. "Conjugacy theorems for loop reductive group schemes and Lie algebras." Bulletin of Mathematical Sciences 4, no. 2 (2014): 281–324. http://dx.doi.org/10.1007/s13373-014-0052-8.

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17

Lehn, Christian, and Ronan Terpereau. "Invariant deformation theory of affine schemes with reductive group action." Journal of Pure and Applied Algebra 219, no. 9 (2015): 4168–202. http://dx.doi.org/10.1016/j.jpaa.2015.02.013.

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18

Satriano, Matthew. "The Chevalley–Shephard–Todd theorem for finite linearly reductive group schemes." Algebra & Number Theory 6, no. 1 (2012): 1–26. http://dx.doi.org/10.2140/ant.2012.6.1.

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19

Panin, I., A. Stavrova, and N. Vavilov. "On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I." Compositio Mathematica 151, no. 3 (2014): 535–67. http://dx.doi.org/10.1112/s0010437x14007635.

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AbstractLet$k$be an infinite field. Let$R$be the semi-local ring of a finite family of closed points on a$k$-smooth affine irreducible variety, let$K$be the fraction field of$R$, and let$G$be a reductive simple simply connected$R$-group scheme isotropic over$R$. Our Theorem 1.1 states that for any Noetherian$k$-algebra$A$the kernel of the map$$\begin{eqnarray}H_{\acute{\text{e}}\text{t}}^{1}(R\otimes _{k}A,G)\rightarrow H_{\acute{\text{e}}\text{t}}^{1}(K\otimes _{k}A,G)\end{eqnarray}$$induced by the inclusion of$R$into$K$is trivial. Theorem 1.2 for$A=k$and some other results of the present paper are used significantly in Fedorov and Panin [A proof of Grothendieck–Serre conjecture on principal bundles over a semilocal regular ring containing an infinite field, Preprint (2013),arXiv:1211.2678v2] to prove the Grothendieck–Serre’s conjecture for regular semi-local rings$R$containing an infinite field.
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20

Panin, I. A. "On Grothendieck-Serre's conjecture concerning principalG-bundles over reductive group schemes: II." Izvestiya: Mathematics 80, no. 4 (2016): 759–90. http://dx.doi.org/10.1070/im8452.

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21

Sopkina, Ekaterina. "Classification of all connected subgroup schemes of a reductive group containing a split maximal torus." Journal of K-Theory 3, no. 1 (2008): 103–22. http://dx.doi.org/10.1017/is008007004jkt043.

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AbstractThe main result of the paper is a classification of all connected subgroup schemes of a reductive group containing a split maximal torus, over an arbitrary field. The classification is expressed in terms of functions on the root system.
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22

Панин, Иван Александрович, and Ivan Alexandrovich Panin. "On Grothendieck - Serre's conjecture concerning principal $G$-bundles over reductive group schemes: II." Известия Российской академии наук. Серия математическая 80, no. 4 (2016): 131–62. http://dx.doi.org/10.4213/im8452.

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23

Thăńg, Nguyêñ Quôć. "Corestriction principle for non-abelian cohomology of reductive group schemes over arithmetical rings." Proceedings of the Japan Academy, Series A, Mathematical Sciences 82, no. 9 (2006): 147–51. http://dx.doi.org/10.3792/pjaa.82.147.

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24

Zhao, Yifei. "Spectral decomposition of genuine cusp forms over global function fields." Compositio Mathematica 160, no. 6 (2024): 1194–260. http://dx.doi.org/10.1112/s0010437x24007127.

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We prove the geometric Satake equivalence for étale metaplectic covers of reductive group schemes and extend the Langlands parametrization of V. Lafforgue to genuine cusp forms defined on their associated covering groups.
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25

Panin, Ivan. "Nice triples and the Grothendieck–Serre conjecture concerning principal G-bundles over reductive group schemes." Duke Mathematical Journal 168, no. 2 (2019): 351–75. http://dx.doi.org/10.1215/00127094-2018-0042.

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26

Thǎńg, Nguyêñ Quôć. "A Norm Principle for Class Groups of Reductive Group Schemes over Dedekind Rings of Integers of Local and Global Fields." Vietnam Journal of Mathematics 43, no. 2 (2015): 257–81. http://dx.doi.org/10.1007/s10013-015-0122-6.

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27

Bültel, O., and G. Pappas. "-DISPLAYS AND RAPOPORT–ZINK SPACES." Journal of the Institute of Mathematics of Jussieu 19, no. 4 (2018): 1211–57. http://dx.doi.org/10.1017/s1474748018000373.

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Let $(G,\unicode[STIX]{x1D707})$ be a pair of a reductive group $G$ over the $p$-adic integers and a minuscule cocharacter $\unicode[STIX]{x1D707}$ of $G$ defined over an unramified extension. We introduce and study ‘$(G,\unicode[STIX]{x1D707})$-displays’ which generalize Zink’s Witt vector displays. We use these to define certain Rapoport–Zink formal schemes purely group theoretically, i.e. without $p$-divisible groups.
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28

Conrad, Brian. "Finiteness theorems for algebraic groups over function fields." Compositio Mathematica 148, no. 2 (2011): 555–639. http://dx.doi.org/10.1112/s0010437x11005665.

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AbstractWe prove the finiteness of class numbers and Tate–Shafarevich sets for all affine group schemes of finite type over global function fields, as well as the finiteness of Tamagawa numbers and Godement’s compactness criterion (and a local analogue) for all such groups that are smooth and connected. This builds on the known cases of solvable and semi-simple groups via systematic use of the recently developed structure theory and classification of pseudo-reductive groups.
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29

Wenzel, Christian. "Classification of all parabolic subgroup-schemes of a reductive linear algebraic group over an algebraically closed field." Transactions of the American Mathematical Society 337, no. 1 (1993): 211–18. http://dx.doi.org/10.1090/s0002-9947-1993-1096262-1.

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30

Knop, Friedrich, and Gerhard Röhrle. "Spherical subgroups in simple algebraic groups." Compositio Mathematica 151, no. 7 (2015): 1288–308. http://dx.doi.org/10.1112/s0010437x1400791x.

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Let $G$ be a simple algebraic group. A closed subgroup $H$ of $G$ is said to be spherical if it has a dense orbit on the flag variety $G/B$ of $G$. Reductive spherical subgroups of simple Lie groups were classified by Krämer in 1979. In 1997, Brundan showed that each example from Krämer’s list also gives rise to a spherical subgroup in the corresponding simple algebraic group in any positive characteristic. Nevertheless, up to now there has been no classification of all such instances in positive characteristic. The goal of this paper is to complete this classification. It turns out that there is only one additional instance (up to isogeny) in characteristic 2 which has no counterpart in Krämer’s classification. As one of our key tools, we prove a general deformation result for subgroup schemes that allows us to deduce the sphericality of subgroups in positive characteristic from the same property for subgroups in characteristic zero.
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31

BRION, M., and R. JOSHUA. "NOTIONS OF PURITY AND THE COHOMOLOGY OF QUIVER MODULI." International Journal of Mathematics 23, no. 09 (2012): 1250097. http://dx.doi.org/10.1142/s0129167x12500978.

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We explore several variations of the notion of purity for the action of Frobenius on schemes defined over finite fields. In particular, we study how these notions are preserved under certain natural operations like quotients for principal bundles and also geometric quotients for reductive group actions. We then apply these results to study the cohomology of quiver moduli. We prove that a natural stratification of the space of representations of a quiver with a fixed dimension vector is equivariantly perfect and from it deduce that each of the l-adic cohomology groups of the quiver moduli space is strongly pure.
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32

Groechenig, Michael. "Adelic descent theory." Compositio Mathematica 153, no. 8 (2017): 1706–46. http://dx.doi.org/10.1112/s0010437x17007217.

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A result of André Weil allows one to describe rank $n$ vector bundles on a smooth complete algebraic curve up to isomorphism via a double quotient of the set $\text{GL}_{n}(\mathbb{A})$ of regular matrices over the ring of adèles (over algebraically closed fields, this result is also known to extend to $G$-torsors for a reductive algebraic group $G$). In the present paper we develop analogous adelic descriptions for vector and principal bundles on arbitrary Noetherian schemes, by proving an adelic descent theorem for perfect complexes. We show that for Beilinson’s co-simplicial ring of adèles $\mathbb{A}_{X}^{\bullet }$, we have an equivalence $\mathsf{Perf}(X)\simeq |\mathsf{Perf}(\mathbb{A}_{X}^{\bullet })|$ between perfect complexes on $X$ and cartesian perfect complexes for $\mathbb{A}_{X}^{\bullet }$. Using the Tannakian formalism for symmetric monoidal $\infty$-categories, we conclude that a Noetherian scheme can be reconstructed from the co-simplicial ring of adèles. We view this statement as a scheme-theoretic analogue of Gelfand–Naimark’s reconstruction theorem for locally compact topological spaces from their ring of continuous functions. Several results for categories of perfect complexes over (a strong form of) flasque sheaves of algebras are established, which might be of independent interest.
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33

Bernardini, Riccardo, Roberto Cesco Fabbro, and Roberto Rinaldo. "Group-Based Reduction Schemes for Streaming Applications." ISRN Communications and Networking 2011 (September 8, 2011): 1–10. http://dx.doi.org/10.5402/2011/898254.

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Some peer-to-peer streaming systems make use of linear codes to reduce the rate of the data uploaded by peers with limited upload capabilities. Such “data reduction” techniques are based on a vector-space approach and produce the data to be uploaded by means of linear combinations of the content data in a suitable finite field. In this paper, we propose a more general approach based on group theory. The new approach, while including the vector space approach as a special case, allows to design schemes that cannot be modeled as linear codes. We analyze the properties of the schemes based on the new approach, showing also how a group-based scheme can be used to prevent stream poisoning and how a group-based scheme can be converted into a secret-sharing scheme. Examples of group-based schemes that cannot be described in the vector-space framework are also shown.
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34

Vasiu, Adrian. "Normal, unipotent subgroup schemes of reductive groups." Comptes Rendus Mathematique 341, no. 2 (2005): 79–84. http://dx.doi.org/10.1016/j.crma.2005.05.014.

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35

Howard, Benjamin, and Georgios Pappas. "Rapoport–Zink spaces for spinor groups." Compositio Mathematica 153, no. 5 (2017): 1050–118. http://dx.doi.org/10.1112/s0010437x17007011.

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After the work of Kisin, there is a good theory of canonical integral models of Shimura varieties of Hodge type at primes of good reduction. The first part of this paper develops a theory of Hodge type Rapoport–Zink formal schemes, which uniformize certain formal completions of such integral models. In the second part, the general theory is applied to the special case of Shimura varieties associated with groups of spinor similitudes, and the reduced scheme underlying the Rapoport–Zink space is determined explicitly.
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36

SUFIANI, R., S. NAMI, M. GOLMOHAMMADI, and M. A. JAFARIZADEH. "CONTINUOUS TIME QUANTUM WALKS AND QUOTIENT GRAPHS." International Journal of Quantum Information 09, no. 03 (2011): 1005–17. http://dx.doi.org/10.1142/s0219749911007435.

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Continuous-time quantum walks (CTQW) over finite group schemes is investigated, where it is shown that some properties of a CTQW over a group scheme defined on a finite group G induces a CTQW over group scheme defined on G/H, where H is a normal subgroup of G with prime index. This reduction can be helpful in analyzing CTQW on underlying graphs of group schemes. Even though this claim is proved for normal subgroups with prime index (using the Clifford's theorem from representation theory), it is checked in some examples that for other normal subgroups or even non-normal subgroups, the result is also true! It means that CTQW over the graph on G, starting from any arbitrary vertex, is isomorphic to the CTQW over the quotient graph on G/H if we take the sum of the amplitudes corresponding to the vertices belonging to the same cosets.
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37

Khekan, Ali, and Bernd Kordaß. "Comparing Zirconium Crown Marginal Adaptation in Preparations with Two Different Occlusal Reductions." Dentistry Journal 12, no. 3 (2024): 77. http://dx.doi.org/10.3390/dj12030077.

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This study aimed to assess and contrast the effects on the vertical marginal fit of full contour CAD/CAM-generated monolithic zirconia crowns at pre- and post-cementation levels with various occlusal reduction schemes (planar and flat) and cements. Forty sound human maxillary first premolars were sampled for this study. The samples were divided into two main groups with twenty samples in each group according to the occlusal reduction scheme as follows: Group A included a chamfer finishing line design with a planar occlusal reduction scheme and Group B included a chamfer finishing line design with a flat occlusal reduction scheme. Each group was sampled into two subgroups (n = 10) based on the type of cement as follows: resin-modified glass ionomer cement (Fuji Plus) for subgroups A1 and B1, and a universal adhesive system (Duo Estecem II) for subgroups A2 and B2. Marginal gaps were tested in four indentations using a Dino light stereomicroscope (230×). Paired T-tests and Student’s t-tests were used to analyze the data. Before cementation, subgroup A1 scored the lowest mean of vertical marginal gap values, while subgroup B2 scored the highest mean; following cementation, subgroup A1 scored the lowest mean of vertical marginal gap values, and subgroup B2 scored the highest mean of vertical marginal gap values. A chamfer finishing line design with a planar occlusal reduction scheme could be a preferable occlusal reduction scheme.
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38

Chen, Xi, and Kok Kwang Phoon. "Applications of Symmetric and Nonsymmetric MSSOR Preconditioners to Large-Scale Biot's Consolidation Problems with Nonassociated Plasticity." Journal of Applied Mathematics 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/352081.

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Two solution schemes are proposed and compared for large 3D soil consolidation problems with nonassociated plasticity. One solution scheme results in the nonsymmetric linear equations due to the Newton iteration, while the other leads to the symmetric linear systems due to the symmetrized stiffness strategies. To solve the resulting linear systems, the QMR and SQMR solver are employed in conjunction with nonsymmetric and symmetric MSSOR preconditioner, respectively. A simple footing example and a pile-group example are used to assess the performance of the two solution schemes. Numerical results disclose that compared to the Newton iterative scheme, the symmetric stiffness schemes combined with adequate acceleration strategy may lead to a significant reduction in total computer runtime as well as in memory requirement, indicating that the accelerated symmetric stiffness method has considerable potential to be exploited to solve very large problems.
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39

Grossi, Sonia Aurora Alves, Simão Augusto Lottenberg, Ana Maria Lottenberg, Thaís Della Manna, and Hilton Kuperman. "Home blood glucose monitoring in type 1 diabetes mellitus." Revista Latino-Americana de Enfermagem 17, no. 2 (2009): 194–200. http://dx.doi.org/10.1590/s0104-11692009000200009.

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OBJECTIVE: To determine which of two simplified blood glucose monitoring schemes promotes better metabolic control in type1 diabetic patients during 12 months of participation in educational groups. METHODS: A crossover clinical trial involving 21 patients divided into two groups was conducted. They were submitted to a two monitoring schemes:2 alternate daily preprandial measurements and 2 alternate daily pre-and postprandial measurements. The effectiveness of the schemes was evaluated based on HbA1c. Variations in mean HbA1c were analyzed by Friedman test. RESULTS: The groups were homogenous in terms of sociodemographic and clinical variables (p>0.05). Mean HbA1c levels ranged from 8.48 (±1.00) to 7.37 (±0.99) over time in Group A and from 9.89 (±0.86) to 8.34 (±1.06) in Group B. The analysis of the HbA1c showed a significant reduction in the first and last 6 months and over the 12 months of the study in two groups (p<0.05). The preprandial scheme demonstrated the largest number and highest percentage of significant drops in HbA1c. CONCLUSIONS: The two monitoring improved the metabolic control and the preprandial scheme was more effective.
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40

Lahire, Bernard. "De la teoría del habitus a una sociología psicológica." CPU-e, Revista de Investigación Educativa, no. 14 (October 30, 2012): 75–105. http://dx.doi.org/10.25009/cpue.v0i14.30.

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En este texto, Bernard Lahire desarrolla las bases de un programa de sociología psicológica, y en el camino, deja ver por qué no sólo es deseable sino necesaria la interacción de disciplinas como la sociología, la antropología y la psicología. Por ejemplo, expone que el concepto bourdiano de habitus tiene su origen en el concepto piagetiano de esquema de acción, con lo que se muestra que, reconociéndolo o no, existe de hecho una fuerte interacción entre disciplinas. Además, este texto permite refrescar las reflexiones acerca de la cultura, las identidades, la socialización y las mentes de los individuos que al final son las que in-corporan, asimilándolos y organizándolos, los patrones socio-culturales de comportamiento que entran en conflicto o en competencia con otros. Lahire nos brinda así una sugestiva imagen del hombre, siempre plural e imposible de aprehender por estereotipos reductivos y estériles.Re-tradujimos este texto apoyándonos en uno de sus traductores y en un grupo de personas entusiastas por la traducción, convirtiendo así el trabajo en un ejercicio intelectual enriquecedor y formativo para todos los participantes del Seminario (y ahora Experiencia Electiva en la UV, denominada La traducción de textos científicos y literarios del francés al español y su didáctica).AbstractIn this text, Bernard Lahire develops the foundations for a psychological sociology research program. He brings to light why an interaction within such disciplines as sociology, anthropology, and psychology is not only desirable but necessary. For example, he elaborates on Bourdieu’s concept of habitus, which emerges from Piaget’s concept of action schemes, a theory that proves, whether we recognize it or not, that there is in fact a strong interaction within disciplines. Furthermore, this text allows the renewal of discussions about culture, identity, socialization and the minds of the individuals. In the end, these discussions are the ones that incorporate, by assimilating and organizing, the socio-cultural behaviour patterns which come into conflict or competition with others. This way, Lahire provides a suggestive image of the man always as plural and impossible to compare to sterile and reductive stereotypes.We have translated this text thanks to the support of previously published translation and a group of enthusiastic people, turning this work into a formative and enriching intellectual exercise for all the participants in the Seminar (now a Learning Module in the University of Veracruz called Translation of Scientific and Literary Texts from French to Spanish and its Didactics).Recibido: 3 de agosto de 2011 Aceptado: 31 de agosto de 2011
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41

Thanh, Nga, Khanh Kim, Son Hong, and Trung Lam. "Entropy Correlation and Its Impacts on Data Aggregation in a Wireless Sensor Network." Sensors 18, no. 9 (2018): 3118. http://dx.doi.org/10.3390/s18093118.

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A correlation characteristic has significant potential advantages for the development of efficient communication protocols in wireless sensor networks (WSNs). To exploit the correlation in WSNs, the correlation model is required. However, most of the present correlation models are linear and distance-dependent. This paper proposes a general distance-independent entropy correlation model based on the relation between joint entropy and the number of members in a group. This relation is estimated using entropy of individual members and entropy correlation coefficients of member pairs. The proposed model is then applied to evaluate two data aggregation schemes in WSNs including data compression and representative schemes. In the data compression scheme, some main routing strategies are compared and evaluated to find the most appropriate strategy. In the representative scheme, with the desired distortion requirement, a method to calculate the number of representative nodes and the selection of these nodes are proposed. The practical validations showed the effectiveness of the proposed correlation model and data reduction schemes.
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42

Guo, Zhuo Tuan, Yong Guo, Di Wu, Jun Peng, Yong Bing Wang, and Sheng Li An. "Production Process Optimization of Mongolian Iron Ore Pellets for Baogang Group." Applied Mechanics and Materials 751 (April 2015): 35–39. http://dx.doi.org/10.4028/www.scientific.net/amm.751.35.

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Baogang Group imported large quantities of Mongolian iron ore to solve the shortage of ironmaking raw materials. But the basic parameters of Mongolian iron ore in pellets production are deficient. In this paper, orthogonal experimental method was used in the optimization of roasting production process of Mongolian iron ore pellets. The results show that when the content of Mongolian iron ore is 55%, the factors affecting the expansion rate of pellets in order of decrease is bentonite proportion, roasting temperature, roasting time and preheating temperature. For pellets containing 55% Mongolian iron ore, the optimum roasting schemes are as follows: bentonite proportion at 3.3%, roasting temperature at 700°C, roasting time at 14 minutes and preheating temperature at 1280°C. Under this roasting scheme, the expansion rate of pellets is 13.41%, and the compression strength reaches 2275N, which meets the technological requires of large blast furnace. The main phase of the Mongolian iron ore pellets is hematite, with a porosity of 25%-30%. And the content of gangue and liquid phase is relatively low, which is beneficial to the reduction process of pellets in blast furnace.
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43

Xu, Guishuang, Xinchun Yin, and Xincheng Li. "ER-CGKA: Efficient and robust continuous group key agreement scheme with post-compromise forward security for IoV." PLOS ONE 19, no. 8 (2024): e0307867. http://dx.doi.org/10.1371/journal.pone.0307867.

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The Internet of Vehicles (IoV) counts for much in advancing intelligent transportation by connecting people, vehicles, infrastructures, and cloud servers (CS). However, the open-access wireless channels within the IoV are susceptible to malicious attacks. Therefore, an authentication key agreement protocol becomes essential to ensure secure vehicular communications and protect vehicle privacy. Nevertheless, although the vehicles in the group are compromised, they can still update the group key and obtain the communication content in the existing group key agreement protocols. Therefore, it is still challenging to guarantee post-compromise forward security (PCFS). Dynamic key rotation is a common approach to realizing PCFS, which brings a heavy computation and communication burden. To address these issues, an efficient and robust continuous group key agreement (ER-CGKA) scheme with PCFS is designed for IoV. The propose-and-commit flow is employed to support asynchronous group key updates. Besides, the computation cost and communication overhead are significantly reduced based on the TreeKEM architecture. Furthermore, we adopt the threshold mechanism to resist the collusion attacks of malicious vehicles, which enhances the ER-CGKA scheme’s robustness. Security analysis indicates that the proposed scheme satisfies all the fundamental security requirements of the IoV and achieves PCFS. The performance evaluation results show that our ER-CGKA scheme demonstrates a reduction in the computation cost of 18.82% (Client) and 33.18% (CS) approximately, and an increase in communication overhead of around 55.57% since pseudonyms are utilized to achieve conditional privacy-preserving. Therefore, our ER-CGKA scheme is secure and practical.
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44

Ha, Sook S., Inyoung Kim, Yue Wang, and Jianhua Xuan. "Applications of Different Weighting Schemes to Improve Pathway-Based Analysis." Comparative and Functional Genomics 2011 (2011): 1–15. http://dx.doi.org/10.1155/2011/463645.

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Conventionally, pathway-based analysis assumes that genes in a pathway equally contribute to a biological function, thus assigning uniform weight to genes. However, this assumption has been proved incorrect, and applying uniform weight in the pathway analysis may not be an appropriate approach for the tasks like molecular classification of diseases, as genes in a functional group may have different predicting power. Hence, we propose to use different weights to genes in pathway-based analysis and devise four weighting schemes. We applied them in two existing pathway analysis methods using both real and simulated gene expression data for pathways. Among all schemes, random weighting scheme, which generates random weights and selects optimal weights minimizing an objective function, performs best in terms ofPvalue or error rate reduction. Weighting changes pathway scoring and brings up some new significant pathways, leading to the detection of disease-related genes that are missed under uniform weight.
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45

Guan, Hong, Hao Liu, and Raafat George Saadé. "Analysis of Carbon Emission Reduction in International Civil Aviation through the Lens of Shared Triple Bottom Line Value Creation." Sustainability 14, no. 14 (2022): 8513. http://dx.doi.org/10.3390/su14148513.

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Overall, climate concerns have been on the global agenda for many years now. However, the aviation sector’s impact on climate change has been receiving increased attention recently. This is primarily due to the adoption of the 2016 carbon offsetting and reduction scheme for international civil aviation (CORSIA) which was introduced by the international civil aviation organization (ICAO). The aims of our study are to analyze ICAO’s carbon offsetting reduction scheme through the lens of the triple bottom line (TBL) value creation dimensions and to explore implementation issues relevant to its success and alignment between regulatory and commercial capabilities. Findings from our analysis were presented to a pilot focus group to further our understanding of the area. After cross-examination of the carbon emission reduction implementation issues against the TBL dimensions, we show the gap between regulatory schemes and the realities of the sustainable commercial aviation sector to meet climate goals. By highlighting the regulatory versus commercial social capabilities, our study illuminates the dimensions which need to be considered in regulatory practice, emphasizing the necessity for commercial sustainability. We finally provide recommendations to be considered for the successful implementation of CORSIA.
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46

Kaseniit, Kristjan Eerik, Mark R. Theilmann, Alexander Robertson, Eric A. Evans, and Imran S. Haque. "Group Testing Approach for Trinucleotide Repeat Expansion Disorder Screening." Clinical Chemistry 62, no. 10 (2016): 1401–8. http://dx.doi.org/10.1373/clinchem.2016.259796.

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Abstract BACKGROUND Fragile X syndrome (FXS, OMIM #300624) is an X-linked condition caused by trinucleotide repeat expansions in the 5′ UTR (untranslated region) of the fragile X mental retardation 1 (FMR1) gene. FXS testing is commonly performed in expanded carrier screening and has been proposed for inclusion in newborn screening. However, because pathogenic alleles are long and have low complexity (>200 CGG repeats), FXS is currently tested by a single-plex electrophoresis-resolved PCR assay rather than multiplexed approaches like next-generation sequencing or mass spectrometry. In this work, we sought an experimental design based on nonadaptive group testing that could accurately and reliably identify the size of abnormally expanded FMR1 alleles of males and females. METHODS We developed a new group testing scheme named StairCase (SC) that was designed to the constraints of the FXS testing problem, and compared its performance to existing group testing schemes by simulation. We experimentally evaluated SC's performance on 210 samples from the Coriell Institute biorepositories using pooled PCR followed by capillary electrophoresis on 3 replicates of each of 3 pooling layouts differing by the mapping of samples to pools. RESULTS The SC pooled PCR approach demonstrated perfect classification of samples by clinical category (normal, intermediate, premutation, or full mutation) for 90 positives and 1800 negatives, with a batch of 210 samples requiring only 21 assays. CONCLUSIONS Group testing based on SC is an implementable approach to trinucleotide repeat expansion disorder testing that offers ≥10-fold reduction in assay costs over current single-plex methods.
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47

Dahm, Rolf. "Spin-Flavour Symmetry and Contractions Towards Classical Space-Time Symmetry." International Journal of Modern Physics A 12, no. 01 (1997): 147–52. http://dx.doi.org/10.1142/s0217751x97000190.

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A classification scheme of hadrons is proposed on the basis of the division algebra H of quaternions and an appropriate geometry. This scheme suggests strongly to understand flavour symmetry in another manner than from standard symmetry schemes. In our approach, we do not start from "exact" symmetry groups like SU(2) × SU(2) chiral symmetry and impose various symmetry breaking mechanisms which collide with theorems wellknown from quantum field theory. On the contrary, the approximate symmetry properties of the hadron spectrum at low energies, usually classified by "appropriately" broken compact flavour groups, emerge very naturally as a low energy reduction of the noncompact (dynamical) symmetry group Sl(2,H). This quaternionic approach not only avoids most of the wellknown conceptual problems of Chiral Dynamics but it also allows for a general treatment of relativistic flavour symmetries as well as it yields a direct connection towards classical relativistic symmetry.
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48

Chatterjee, Sanjit, M. Prem Laxman Das, and R. Kabaleeshwaran. "Converting pairing-based cryptosystems from composite to prime order setting – A comparative analysis." Journal of Mathematical Cryptology 12, no. 3 (2018): 159–90. http://dx.doi.org/10.1515/jmc-2017-0042.

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Abstract Composite order pairing setting has been used to achieve cryptographic functionalities beyond what is attainable in prime order groups. However, such pairings are known to be significantly slower than their prime order counterparts. Thus emerged a new line of research – developing frameworks to convert cryptosystems from composite to prime order pairing setting. In this work, we analyse the intricacies of efficient prime order instantiation of cryptosystems that can be converted using existing frameworks. To compare the relative efficacy of these frameworks we mainly focus on some representative schemes: the Boneh–Goh–Nissim (BGN) homomorphic encryption scheme, ring and group signatures as well as a blind signature scheme. Our concrete analyses lead to several interesting observations. We show that even after a considerable amount of research, the projecting framework implicit in the very first work of Groth–Sahai still remains the best choice for instantiating the BGN cryptosystem. Protocols like the ring signature and group signature which use both projecting and cancelling setting in composite order can be most efficiently instantiated in the Freeman prime-order projecting only setting. In contrast, while the Freeman projecting setting is sufficient for the security reduction of the blind signature scheme, the simultaneous projecting and cancelling setting does provide some efficiency advantage.
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49

Tu, Yung-Ping, Zi-Teng Zhan та Yung-Fa Huang. "A Novel Alternating μ-Law Companding Algorithm for PAPR Reduction in OFDM Systems". Electronics 13, № 4 (2024): 694. http://dx.doi.org/10.3390/electronics13040694.

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Orthogonal frequency division multiplexing (OFDM) inherits multi-carrier systems’ inevitable high peak-to-average power ratio (PAPR) problem. In this paper, a novel alternating companding technique is proposed to combat the harassment of high PAPR. The sequential μ-law companding (SULC) and a tone with a lower PAPR result in only partial tones needing companding. The SULC scheme’s PAPR and bit error rate (BER) performance has been balanced and improved. However, the computational complexity is still too high to be implemented. Therefore, this study sorted the transmission signals according to their amplitudes. Then, all the tones are divided into two groups by estimating the rough companding amount (around 54% of the subcarriers), using traditional parallel companding for the first group and the other group only by partial μ-law companding. This alternating μ-law companding (AULC) is proposed to improve the PAPR performance and simultaneously reduce complexity. Simulation results show that the proposed AULC method appreciably reduces the PAPR by about 5 dB (around 45%) compared with the original μ-law at complementary cumulative distribution function (CCDF) equal to 10−4. Moreover, it only requires a moderate complexity to outperform the other companding schemes without sacrificing the BER performance in the OFDM systems.
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50

Aparna, R., and B. B. Amberker. "Key Management Schemes for Multilayer and Multiple Simultaneous Secure Group Communication." ISRN Communications and Networking 2012 (August 1, 2012): 1–11. http://dx.doi.org/10.5402/2012/383218.

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Many emerging applications are based on group communication model and many group communications like multimedia distribution and military applications require a security infrastructure that provides multiple levels of access control for group members. The group members are divided into a number of subgroups and placed at different privilege levels based on certain criteria. A member at higher level must be capable of accessing communication in its own level as well as its descendant lower levels but not vice versa. In this paper we propose a key management scheme for this multilayer group communication. We achieve substantial reduction in storage and encryption cost compared to the scheme proposed by Dexter et al. We also address periodic group rekeying. Applications like scientific discussion and project management may lead to a scenario in which it is necessary to set up multiple secure groups simultaneously, and few members may be part of several secure groups. Managing group keys for simultaneous secure groups is critical. In this paper we propose a novel key management scheme for multiple simultaneous groups.
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