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Journal articles on the topic 'Loewy'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 January 2023

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1

KOSHITANI, SHIGEO, BURKHARD KÜLSHAMMER, and BENJAMIN SAMBALE. "On Loewy lengths of blocks." Mathematical Proceedings of the Cambridge Philosophical Society 156, no. 3 (February 20, 2014): 555–70. http://dx.doi.org/10.1017/s0305004114000103.

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AbstractWe give a lower bound on the Loewy length of a p-block of a finite group in terms of its defect. We then discuss blocks with small Loewy length. Since blocks with Loewy length at most 3 are known, we focus on blocks of Loewy length 4 and provide a relatively short list of possible defect groups. It turns out that p-solvable groups can only admit blocks of Loewy length 4 if p=2. However, we find (principal) blocks of simple groups with Loewy length 4 and defect 1 for all p ≡ 1 (mod 3). We also consider sporadic, symmetric and simple groups of Lie type in defining characteristic. Finally, we give stronger conditions on the Loewy length of a block with cyclic defect group in terms of its Brauer tree.

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2

Frühwald, Thomas, and Sabine Pleschberger. "Erich H. Loewy." Wiener klinische Wochenschrift 123, no. 21-22 (November 2011): 631–32. http://dx.doi.org/10.1007/s00508-011-0102-0.

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3

Thomasma, David C. "Response to Erich Loewy." Journal of Clinical Ethics 2, no. 2 (June 1, 1991): 90–91. http://dx.doi.org/10.1086/jce199102204.

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4

Facchini, Alberto, and Mai Hoang Bien. "Loewy Modules with Finite Loewy Invariants and Max Modules with Finite Radical Invariants." Communications in Algebra 43, no. 6 (April 17, 2015): 2293–307. http://dx.doi.org/10.1080/00927872.2014.891604.

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5

Náray-Fejes-Tóth, Anikó, and Géza Fejes-Tóth. "Reply to Geerling and Loewy." American Journal of Physiology-Renal Physiology 293, no. 1 (July 2007): F442—F443. http://dx.doi.org/10.1152/ajprenal.00211.2007.

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6

Benson, Dave, and Fergus Reid. "Modules with small Loewy length." Journal of Algebra 414 (September 2014): 288–99. http://dx.doi.org/10.1016/j.jalgebra.2014.05.028.

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7

Blessenohl, Dieter, and Hartmut Laue. "The module structure of Solomon's descent algebra." Journal of the Australian Mathematical Society 72, no. 3 (June 2002): 317–34. http://dx.doi.org/10.1017/s1446788700036752.

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AbstractA close connection is uncovered between the lower central series of the free associative algebra of countable rank and the descending Loewy series of the direct sum of all Solomon descent algebras Δn, n ∈ ℕ0. Each irreducible Δn-module is shown to occur in at most one Loewy section of any principal indecomposable Δn-module.A precise condition for his occurence and formulae for the Cartan numbers are obtained.

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8

Subakti, Agung Gita, Darwin Tenironama, and Ari Yuniarso. "Analisis Persepsi Konsumen." Journal : Tourism and Hospitality Essentials Journal 8, no. 1 (June 25, 2018): 31. http://dx.doi.org/10.17509/thej.v8i1.11687.

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Loewy is one of the restaurants and bars in Jakarta who serves drinks to the concept of molecular mixology. Molecular mixology itself developed in conjunction with the method of Molecular gastronomy which is a scientific study about gastronomy or the branch of science that studies the transformation of physiochemical on food during the cooking process and the phenomenon of knowledge as they consumed. However, molecular mixology is not as popular as molecular gastronomy where the general public still have yet to understand or even be aware of drinks made with this method. Therefore, the researchers want to do an analysis on consumer perceptions of product of molecular mixology in Loewy Jakarta. The research method used is descriptive methods. This is done to obtain a systematically and factual. By this study, it is expected to know the consumers’ perception in Loewy Jakarta on beverage products made with the molecular mixology method.

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9

Schwarz, Fritz. "Loewy decomposition of linear differential equations." Bulletin of Mathematical Sciences 3, no. 1 (July 29, 2012): 19–71. http://dx.doi.org/10.1007/s13373-012-0026-7.

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10

Yun Guo, Jin, and Qiuxian Wu. "Loewy matrix, koszul cone and applications." Communications in Algebra 28, no. 2 (January 2000): 925–40. http://dx.doi.org/10.1080/00927870008826869.

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11

Külshammer, Burkhard, and Benjamin Sambale. "Loewy lengths of centers of blocks." Quarterly Journal of Mathematics 69, no. 3 (February 8, 2018): 855–70. http://dx.doi.org/10.1093/qmath/hay001.

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12

Charkani, M. E., and S. Bouhamidi. "Modular representations of Loewy length two." International Journal of Mathematics and Mathematical Sciences 2003, no. 70 (2003): 4399–408. http://dx.doi.org/10.1155/s0161171203210681.

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LetGbe a finitep-group,Ka field of characteristicp, andJthe radical of the group algebraK[G]. We study modular representations using some new results of the theory of extensions of modules. More precisely, we describe theK[G]-modulesMsuch thatJ2M=0and give some properties and isomorphism invariants which allow us to compute the number of isomorphism classes ofK[G]-modulesMsuch thatdimK(M)=μ(M)+1, whereμ(M)is the minimum number of generators of theK[G]-moduleM. We also compute the number of isomorphism classes of indecomposableK[G]-modulesMsuch thatdimK(Rad(M))=1.

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13

Hanson, Stephen S. "Moral Acquaintances: Loewy, Wildes, and Beyond." HEC Forum 19, no. 3 (September 19, 2007): 207–25. http://dx.doi.org/10.1007/s10730-007-9041-6.

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14

Abe, Noriyuki, and Masaharu Kaneda. "THE LOEWY STRUCTURE OF -VERMA MODULES OF SINGULAR HIGHEST WEIGHTS." Journal of the Institute of Mathematics of Jussieu 16, no. 4 (October 2, 2015): 887–98. http://dx.doi.org/10.1017/s1474748015000274.

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Let $G$ be a reductive algebraic group over an algebraically closed field of positive characteristic, $G_{1}$ the Frobenius kernel of $G$, and $T$ a maximal torus of $G$. We show that the parabolically induced $G_{1}T$-Verma modules of singular highest weights are all rigid, determine their Loewy length, and describe their Loewy structure using the periodic Kazhdan–Lusztig $P$- and $Q$-polynomials. We assume that the characteristic of the field is sufficiently large that, in particular, Lusztig’s conjecture for the irreducible $G_{1}T$-characters holds.

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15

Baccella, Giuseppe, and Giovanna Di Campli. "Semiartinian rings whose loewy factors are nonsingular." Communications in Algebra 25, no. 9 (January 1997): 2743–64. http://dx.doi.org/10.1080/00927879708826020.

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16

Watters, J. F. "Loewy series,V-modules and trace ideals." Communications in Algebra 27, no. 12 (January 1999): 5951–65. http://dx.doi.org/10.1080/00927879908826800.

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17

KÜLSHAMMER, BURKHARD, YOSHIHIRO OTOKITA, and BENJAMIN SAMBALE. "LOEWY LENGTHS OF CENTERS OF BLOCKS II." Nagoya Mathematical Journal 234 (September 25, 2017): 127–38. http://dx.doi.org/10.1017/nmj.2017.36.

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Let $ZB$ be the center of a $p$-block $B$ of a finite group with defect group $D$. We show that the Loewy length $LL(ZB)$ of $ZB$ is bounded by $|D|/p+p-1$ provided $D$ is not cyclic. If $D$ is nonabelian, we prove the stronger bound $LL(ZB)<\min \{p^{d-1},4p^{d-2}\}$ where $|D|=p^{d}$. Conversely, we classify the blocks $B$ with $LL(ZB)\geqslant \min \{p^{d-1},4p^{d-2}\}$. This extends some results previously obtained by the present authors. Moreover, we characterize blocks with uniserial center.

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18

Noriyuki, Abe, and Kaneda Masaharu. "Loewy series of parabolically induced -Verma modules." Journal of the Institute of Mathematics of Jussieu 14, no. 1 (March 28, 2014): 185–220. http://dx.doi.org/10.1017/s1474748014000012.

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AbstractWe show that the modules for the Frobenius kernel of a reductive algebraic group over an algebraically closed field of positive characteristic $p$ induced from the $p$-regular blocks of its parabolic subgroups can be $\mathbb{Z}$-graded. In particular, we obtain that the modules induced from the simple modules of $p$-regular highest weights are rigid and determine their Loewy series, assuming the Lusztig conjecture on the irreducible characters for the reductive algebraic groups, which is now a theorem for large $p$. We say that a module is rigid if and only if it admits a unique filtration of minimal length with each subquotient semisimple, in which case the filtration is called the Loewy series.

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19

Bissinger, Daniel. "Indecomposable Jordan types of Loewy length 2." Journal of Algebra 556 (August 2020): 67–92. http://dx.doi.org/10.1016/j.jalgebra.2020.03.010.

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20

Grigoriev, D., and F. Schwarz. "Loewy and primary decompositions of D-modules." Advances in Applied Mathematics 38, no. 4 (May 2007): 526–41. http://dx.doi.org/10.1016/j.aam.2005.12.004.

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21

Kiss, Emil W. "On the Loewy rank of infinite algebras." Algebra Universalis 29, no. 3 (September 1992): 437–40. http://dx.doi.org/10.1007/bf01212442.

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22

Weidner, Michael. "The Loewy layers of principal indecomposable modules." Journal of Algebra 153, no. 2 (December 1992): 386–413. http://dx.doi.org/10.1016/0021-8693(92)90161-e.

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23

Pilz, B. S. "Loewy Structure for Modules over Semilinear Groups." Journal of Algebra 178, no. 3 (December 1995): 928–61. http://dx.doi.org/10.1006/jabr.1995.1384.

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24

De Miguel, Sergio. "Oasis. La casa Loewy en el desierto de Palm Spring." Constelaciones. Revista de Arquitectura de la Universidad CEU San Pablo, no. 3 (May 1, 2015): 37–51. http://dx.doi.org/10.31921/constelaciones.n3a2.

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En los tiempos de la optimista eclosión del Estilo Internacional en América y del comienzo de una nueva domesticidad en California, la peculiar mirada que hiciera el fotógrafo Julius Shulman de la casa Loewy, construida por Albert Frey en el desierto de Palm Springs en 1947, nos permite reconocer las claves de una excepcional pieza de arquitectura. La simbiótica aportación que hiciera Loewy junto a Frey permite superar ampliamente los rigurosos estándares de lo moderno y consigue exaltar el hedonismo de la cultura del bienestar de la posguerra americana. Atmósfera e intención se unen en una fantástica creación tanto de un espacio como de un tiempo.

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25

Hardesty, William. "Explicit calculations in an infinitesimal singular block of SL_n." Proceedings of the Edinburgh Mathematical Society 65, no. 1 (February 2022): 19–52. http://dx.doi.org/10.1017/s0013091521000730.

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AbstractLet $G= SL_{n+1}$ be defined over an algebraically closed field of characteristic $p > 2$. For each $n \geq 1$, there exists a singular block in the category of $G_1$-modules, which contains precisely $n+1$ irreducible modules. We are interested in the ‘lift’ of this block to the category of $G_1T$-modules. Imposing only mild assumptions on $p$, we will perform a number of calculations in this setting, including a complete determination of the Loewy series for the baby Verma modules and all possible extensions between the irreducible modules. In the case where $p$ is extremely large, we will also explicitly compute the Loewy series for the indecomposable projective modules.

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26

ALPERIN, J. L. "LOEWY STRUCTURE OF PERMUTATION MODULES FOR p-GROUPS." Quarterly Journal of Mathematics 39, no. 2 (1988): 129–33. http://dx.doi.org/10.1093/qmath/39.2.129.

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27

Eaton, Charles W., and Michael Livesey. "Loewy lengths of blocks with abelian defect groups." Proceedings of the American Mathematical Society, Series B 4, no. 3 (August 4, 2017): 21–30. http://dx.doi.org/10.1090/bproc/28.

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28

Blum, Martina. "Raymond Loewy: Designs for a Consumer Culture (review)." Technology and Culture 45, no. 4 (2004): 854–55. http://dx.doi.org/10.1353/tech.2004.0161.

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29

Ng, Tuen-Wai, and Cheng-Fa Wu. "Nonlinear Loewy factorizable algebraic ODEs and Hayman’s conjecture." Israel Journal of Mathematics 229, no. 1 (October 23, 2018): 1–38. http://dx.doi.org/10.1007/s11856-018-1791-0.

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30

Schnell, A. "Maurice Loewy and the equatorial Coudé in Vienna." Astronomische Nachrichten 330, no. 6 (July 2009): 552–54. http://dx.doi.org/10.1002/asna.200911215.

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31

Salce, Luigi, and Paolo Zanardo. "Loewy length of modules over almost perfect domains." Journal of Algebra 280, no. 1 (October 2004): 207–18. http://dx.doi.org/10.1016/j.jalgebra.2004.05.019.

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32

Whitehouse, Peter J. "Readdressing Our Moral Relationship to Nonhuman Creatures: Commentary on “A Dialogue on Species-Specific Rights: Humans and Animals in Bioethics”." Cambridge Quarterly of Healthcare Ethics 6, no. 4 (1997): 445–48. http://dx.doi.org/10.1017/s0963180100008173.

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Community discourse about the moral status of animals is critical to the future of bioethics and, indeed, to the future of modern society. Thomasma and Loewy are to be commended for sharing thoughts and trying to attain some common ground. I am grateful to them for fostering discussion and allowing me to respond. I cannot endorse the negative tone of the end of their conversation, however. They end with serious concerns about the possibility of any agreement between themselves. Even though I perceive some moral differences between them, I do not believe that they are moral strangers. In this commentary I review the ways in which I agree and disagree with Thomasma and Loewy and conclude with some thoughts about the kind of broad ethical thinking we need to do to address our moral relationship to nonhuman, living creatures.

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33

ACKERMANN, BERND. "THE LOEWY SERIES OF THE STEINBERG-PIM OF FINITE GENERAL LINEAR GROUPS." Proceedings of the London Mathematical Society 92, no. 1 (December 19, 2005): 62–98. http://dx.doi.org/10.1017/s0024611505015443.

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In this paper we calculate the Loewy series of the projective indecomposable module of the unipotent block contained in the Gelfand–Graev module of the finite general linear group in the case of non-describing characteristic and Abelian defect group.

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34

Irving, Ronald S. "Projective Modules in the Category O s : Loewy Series." Transactions of the American Mathematical Society 291, no. 2 (October 1985): 733. http://dx.doi.org/10.2307/2000107.

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35

Lin, Zong Zhu. "Loewy series of certain indecomposable modules for Frobenius subgroups." Transactions of the American Mathematical Society 332, no. 1 (January 1, 1992): 391–409. http://dx.doi.org/10.1090/s0002-9947-1992-1052908-4.

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36

TRIGGS, T. "Harley Earl * Rayond Loewy: Pioneer of American Industrial Design." Journal of Design History 5, no. 2 (January 1, 1992): 157–60. http://dx.doi.org/10.1093/jdh/5.2.157.

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37

Breuer, T., L. Héthelyi, E. Horváth, and B. Külshammer. "The Loewy structure of certain fixpoint algebras, Part I." Journal of Algebra 558 (September 2020): 199–220. http://dx.doi.org/10.1016/j.jalgebra.2019.05.004.

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38

Otokita, Yoshihiro. "Characterizations of blocks by Loewy lengths of their centers." Proceedings of the American Mathematical Society 145, no. 8 (January 31, 2017): 3323–29. http://dx.doi.org/10.1090/proc/13529.

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39

Blessenohl, Dieter, and Hartmut Laue. "On the Descending Loewy Series of Solomon's Descent Algebra." Journal of Algebra 180, no. 3 (March 1996): 698–724. http://dx.doi.org/10.1006/jabr.1996.0090.

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40

Tachikawa, Hiroyuki. "Loewy coincident algebra and QF-3 associated graded algebra." Czechoslovak Mathematical Journal 59, no. 3 (September 2009): 583–89. http://dx.doi.org/10.1007/s10587-009-0050-2.

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41

Röhl, Frank. "A Remark on the Loewy-Series of Certain Hopf Algebras." Canadian Mathematical Bulletin 32, no. 2 (June 1, 1989): 190–93. http://dx.doi.org/10.4153/cmb-1989-028-6.

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AbstractAn easy proof will be given to show that for finite dimensional Hopf-algebras with nilpotent augmentation ideal over the field of p elements, the upper and lower Loewy-series coincide. In particular, this holds for the restricted universal envelope of nilpotent Lie-p-algebras with nilpotent p-map.

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42

TAN, KAI MENG. "On the principal blocks of F[Sfr ]11 and F[Sfr ]12 over a field of characteristic 3." Mathematical Proceedings of the Cambridge Philosophical Society 128, no. 3 (May 2000): 395–423. http://dx.doi.org/10.1017/s0305004199004181.

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In this paper, we construct the Ext-quivers of the principal blocks of F[Sfr ]11 and F[Sfr ]12, where F is an algebraically closed field of characteristic 3. We also obtain the Loewy structures of three principal indecomposable modules of the principal block of F[Sfr ]11.

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43

Koshitani, Shigeo. "Projective modules of finite groups with elementary abelian Sylow 3-subgroups of order 9 in characteristic 3." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 124, no. 1 (1994): 161–68. http://dx.doi.org/10.1017/s0308210500029267.

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Let G be any finite group with elementary abelian Sylow 3-subgroups of order 9, and let F be any field of characteristic 3. Then, the Loewy length of the projective cover of the trivial FG-module is at least 5. This lower bound is the best possible.

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44

Koshitani, Shigeo, and Jürgen Müller. "The Projective Cover of the Trivial Representation for a Finite Group of Lie Type in Defining Characteristic." Algebra Colloquium 24, no. 03 (September 2017): 439–52. http://dx.doi.org/10.1142/s1005386717000281.

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We give a lower bound of the Loewy length of the projective cover of the trivial module for the group algebra kG of a finite group G of Lie type defined over a finite field of odd characteristic p, where k is an arbitrary field of characteristic p. The proof uses Auslander-Reiten theory.

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45

Robertson, A. Guyan. "An extreme positive operator on a polyhedral cone." Glasgow Mathematical Journal 30, no. 3 (September 1988): 347–48. http://dx.doi.org/10.1017/s0017089500007448.

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In [2], R. Loewy and H. Schneider studied positive linear operators on circular cones. They characterised the extremal positive operators on these cones and noticed that such operators preserve the set of extreme rays of the cone in this case. They then conjectured that this property of extremal positive operators is true in general.

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46

Sicard, Monique. "L’Atlas photographique de la Lune, de MM. Loewy et Puiseux." Revue de la BNF 44, no. 2 (2013): 36. http://dx.doi.org/10.3917/rbnf.044.0036.

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47

Irving, Ronald, and Brad Shelton. "Loewy series and simple projective modules in the category 𝒪S." Pacific Journal of Mathematics 132, no. 2 (April 1, 1988): 319–42. http://dx.doi.org/10.2140/pjm.1988.132.319.

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48

Puthenpurakal, Tony J. "On the Loewy length of modules of finite projective dimension." Journal of Commutative Algebra 9, no. 2 (June 2017): 291–301. http://dx.doi.org/10.1216/jca-2017-9-2-291.

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49

Gómez Pardo, Jose L. "The rational loewy series and nilpotent ideals of endomorphism rings." Israel Journal of Mathematics 60, no. 3 (December 1987): 315–32. http://dx.doi.org/10.1007/bf02780396.

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50

Motose, Kaoru. "On Loewy series of group algebras of some solvable groups." Journal of Algebra 130, no. 2 (May 1990): 261–72. http://dx.doi.org/10.1016/0021-8693(90)90081-x.

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