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Relevant bibliographies by topics / Algebraic group theory

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Academic literature on the topic 'Algebraic group theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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Journal articles on the topic "Algebraic group theory"

1

Guo, Xiao Qiang, and Zheng Jun He. "The Applications of Group Theory." Advanced Materials Research 430-432 (January 2012): 1265–68. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.1265.

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Since the classification of finite simple groups completed last century, the applications of group theory are more and more widely. We first introduce the connection of groups and symmetry. And then we respectively introduce the applications of group theory in polynomial equation, algebraic topology, algebraic geometry , cryptography, algebraic number theory, physics and chemistry.

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Davis, James F., Qayum Khan, and Andrew Ranicki. "AlgebraicK–theory over the infinite dihedral group: an algebraic approach." Algebraic & Geometric Topology 11, no. 4 (2011): 2391–436. http://dx.doi.org/10.2140/agt.2011.11.2391.

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Goppa, V. D. "Group representations and algebraic information theory." Izvestiya: Mathematics 59, no. 6 (1995): 1123–47. http://dx.doi.org/10.1070/im1995v059n06abeh000051.

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Pillay, Anand. "Differentially algebraic group chunks." Journal of Symbolic Logic 55, no. 3 (1990): 1138–42. http://dx.doi.org/10.2307/2274479.

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We point out that a group first order definable in a differentially closed field K of characteristic 0 can be definably equipped with the structure of a differentially algebraic group over K. This is a translation into the framework of differentially closed fields of what is known for groups definable in algebraically closed fields (Weil's theorem).I restrict myself here to showing (Theorem 20) how one can find a large “differentially algebraic group chunk” inside a group defined in a differentially closed field. The rest of the translation (Theorem 21) follows routinely, as in [B].What is, pe

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Eklof, Paul C. "Set Theory Generated by Abelian Group Theory." Bulletin of Symbolic Logic 3, no. 1 (1997): 1–16. http://dx.doi.org/10.2307/421194.

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Introduction. This survey is intended to introduce to logicians some notions, methods and theorems in set theory which arose—largely through the work of Saharon Shelah—out of (successful) attempts to solve problems in abelian group theory, principally the Whitehead problem and the closely related problem of the existence of almost free abelian groups. While Shelah's first independence result regarding the Whitehead problem used established set-theoretical methods (discussed below), his later work required new ideas; it is on these that we focus. We emphasize the nature of the new ideas and the

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Huang, Wenxue. "Algebraic monoids with group kernels." Semigroup Forum 52, no. 1 (1996): 319–23. http://dx.doi.org/10.1007/bf02574107.

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Olshanetsky, M. A. "Quantum-mechanical calculations in the algebraic group theory." Communications in Mathematical Physics 132, no. 2 (1990): 441–59. http://dx.doi.org/10.1007/bf02096657.

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Shamrovskii, A. D., I. V. Andrianov, and J. Awrejcewicz. "Asymptotic-group analysis of algebraic equations." Mathematical Problems in Engineering 2004, no. 5 (2004): 411–51. http://dx.doi.org/10.1155/s1024123x04406036.

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Both the method of asymptotic analysis and the theory of extension group are applied to study the Descates equation. The proposed algorithm allows to obtain various variants of simplification and can be easily generalized to their algebraic and differential equations.

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Rittatore, A. "Algebraic monoids and group embeddings." Transformation Groups 3, no. 4 (1998): 375–96. http://dx.doi.org/10.1007/bf01234534.

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Jun, Jaiung. "Hyperstructures of affine algebraic group schemes." Journal of Number Theory 167 (October 2016): 336–52. http://dx.doi.org/10.1016/j.jnt.2016.03.016.

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Dissertations / Theses on the topic "Algebraic group theory"

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Miscione, Steven. "Loop algebras and algebraic geometry." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=116115.

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This thesis primarily discusses the results of two papers, [Hu] and [HaHu]. The first is an overview of algebraic-geometric techniques for integrable systems in which the AKS theorem is proven. Under certain conditions, this theorem asserts the commutatvity and (potential) non-triviality of the Hamiltonian flow of Ad*-invariant functions once they're restricted to subalgebras. This theorem is applied to the case of coadjoint orbits on loop algebras, identifying the flow with a spectral curve and a line bundle via the Lax equation. These results play an important role in the discussion of [HaHu

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Rizkallah, John. "Bounding cohomology for low rank algebraic groups." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267214.

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Let G be a semisimple linear algebraic group over an algebraically closed field of prime characteristic. In this thesis we outline the theory of such groups and their cohomology. We then concentrate on algebraic groups in rank 1 and 2, and prove some new results in their bounding cohomology.

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邵慰慈 and Wai-chee Shiu. "The algebraic structure and computation of Schur rings." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1992. http://hub.hku.hk/bib/B31233181.

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Shiu, Wai-chee. "The algebraic structure and computation of Schur rings /." [Hong Kong : University of Hong Kong], 1992. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1329037X.

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Kenneally, Darren John. "On eigenvectors for semisimple elements in actions of algebraic groups." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/224782.

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Let G be a simple simply connected algebraic group defined over an algebraically closed field K and V an irreducible module defined over K on which G acts. Let E denote the set of vectors in V which are eigenvectors for some non-central semisimple element of G and some eigenvalue in K*. We prove, with a short list of possible exceptions, that the dimension of Ē is strictly less than the dimension of V provided dim V > dim G + 2 and that there is equality otherwise. In particular, by considering only the eigenvalue 1, it follows that the closure of the union of fixed point spaces of non-centra

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Craven, David Andrew. "Algebraic modules for finite groups." Thesis, University of Oxford, 2007. http://ora.ox.ac.uk/objects/uuid:7f641b33-d301-4445-8269-a5a33f4b7e5e.

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The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with integer co-efficients in the Green ring---in various finite groups, as well as their general theory. In particular, we ask the question `when are all the simple modules for a finite group G algebraic?' We call this the (p-)SMA property. The first chapter introduces the topic and deals with preliminary results, together with the trivial first results. The second chapter provides the general theory of algebraic modules, with particular attention to the relationship between algebraic modules and t

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Moreira, Rodriguez Rivera Walter. "Products of representations of the symmetric group and non-commutative versions." Texas A&M University, 2008. http://hdl.handle.net/1969.1/85938.

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We construct a new operation among representations of the symmetric group that interpolates between the classical internal and external products, which are defined in terms of tensor product and induction of representations. Following Malvenuto and Reutenauer, we pass from symmetric functions to non-commutative symmetric functions and from there to the algebra of permutations in order to relate the internal and external products to the composition and convolution of linear endomorphisms of the tensor algebra. The new product we construct corresponds to the Heisenberg product of endomorphisms o

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Bavuma, Yanga. "Some combinatorial aspects in algebraic topology and geometric group theory." Master's thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/29763.

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The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly available, or subject to differerent methods. In fact combinatorial methods have been preferred and the result is a self-contained dissertation on the theory of the fundamental group and of the coverings. Finally, there are some recent problems i

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North, Evan I. "A Study on the Algebraic Structure of SL(2,p)." Ohio University Honors Tutorial College / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1461266377.

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Klein, Tom. "Filtered ends of pairs of groups." Diss., Online access via UMI:, 2007.

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Books on the topic "Algebraic group theory"

1

Jordan algebras and algebraic groups. Springer, 1998.

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Hart, Bradd T. Algebraic Model Theory. Springer Netherlands, 1997.

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Algebraic groups and number theory. Academic Press, 1994.

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Flannery, D. L. (Dane Laurence), 1965-, ed. Algebraic design theory. American Mathematical Society, 2011.

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Goerss, Paul, та Stewart Priddy, ред. Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic 𝐾-Theory. American Mathematical Society, 2004. http://dx.doi.org/10.1090/conm/346.

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service), SpringerLink (Online, ed. Algebraic Patching. Springer-Verlag Berlin Heidelberg, 2011.

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Kandasamy, W. B. Vasantha. N-algebraic structures and s-algebraic structures. Hexis, 2005.

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The theory of partial algebraic operations. Kluwer Academic, 1997.

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Oystaeyen, F. van. Algebraic geometry for associative algebras. M. Dekker, 2000.

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Algebraic homogeneous spaces and invariant theory. Springer, 1997.

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Book chapters on the topic "Algebraic group theory"

1

Bray, Clark, Adrian Butscher, and Simon Rubinstein-Salzedo. "Introduction to Group Theory." In Algebraic Topology. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70608-1_5.

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Kempf, George R. "A little more group theory." In Algebraic Structures. Vieweg+Teubner Verlag, 1995. http://dx.doi.org/10.1007/978-3-322-80278-1_4.

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de Launey, Warwick, and Dane Flannery. "Group extensions and cocycles." In Algebraic Design Theory. American Mathematical Society, 2011. http://dx.doi.org/10.1090/surv/175/12.

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Miasnikov, Alexei, Enric Ventura, and Pascal Weil. "Algebraic Extensions in Free Groups." In Geometric Group Theory. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-8412-8_12.

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Martínez-Guerra, Rafael, Oscar Martínez-Fuentes, and Juan Javier Montesinos-García. "Group Theory." In Algebraic and Differential Methods for Nonlinear Control Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12025-2_2.

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Dodson, C. T. J., and Phillip E. Parker. "Homotopy Group Theory." In A User’s Guide to Algebraic Topology. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-6309-9_4.

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Vermani, L. R. "Group codes." In Elements of Algebraic Coding Theory. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-7268-2_1.

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de Launey, Warwick, and Dane Flannery. "Group development and regular actions on arrays." In Algebraic Design Theory. American Mathematical Society, 2011. http://dx.doi.org/10.1090/surv/175/10.

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9

Pohst, Michael E. "Computation of the unit group." In Computational Algebraic Number Theory. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8589-8_6.

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Pohst, Michael E. "Computation of the class group." In Computational Algebraic Number Theory. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8589-8_7.

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Conference papers on the topic "Algebraic group theory"

1

Ruiz S., Oscar E., and Placid M. Ferreira. "Algebraic geometry and group theory in geometric constraint satisfaction." In the international symposium. ACM Press, 1994. http://dx.doi.org/10.1145/190347.190421.

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van Dam, Wim, and Yoshitaka Sasaki. "QUANTUM ALGORITHMS FOR PROBLEMS IN NUMBER THEORY, ALGEBRAIC GEOMETRY, AND GROUP THEORY." In Summer School on Diversities in Quantum Computation/Information. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814425988_0003.

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Troltenier, Dirk, Andrey Blokhin, Jerry P. Draayer, Dirk Rompf, and Jorge G. Hirsch. "Algebraic fermion models and nuclear structure physics." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50225.

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Frank, A., and R. Lemus. "Algebraic methods in molecular structure I: Triatomic molecules." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50221.

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Lemus, R. "Algebraic Methods in molecular structure II: D3h-triatomic and tetrahedral molecules." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50222.

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Paldus, J., та X. Li. "Lie algebraic approach to valence bond theory of π-electron systems: a preliminary study of excited states". У Group Theory in Physics: Proceedings of the international symposium held in honor of Professor Marcos Moshinsky. AIP, 1992. http://dx.doi.org/10.1063/1.42851.

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Zhang, Liping, and Jian S. Dai. "Genome Reconfiguration of Metamorphic Manipulators Based on Lie Group Theory." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49906.

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This paper investigates reconfiguration which was induced by topology change as a typical character of metamorphic mechanisms in a way analogous to the concept of genome varation in biological study. Genome is the full complement of genetic information that an organism inherits from its parents, espercially the set of genes they carry. Genome variation is to study the change and variation of this complement with genetic information and genes connectivity and is analogous to mechanisms reconfiguration of metamorphic mechanisms. Metamorphic mechanisms with reconfigurable topology are usually cha

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Guo, Wenbin, Vasilii G. Safonov, and Alexander N. Skiba. "On Some Constructions and Results of the Theory of Partially Soluble Finite Groups." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0019.

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Osman, M. O. M., R. V. Dukkipati, and V. Siva Prasad. "Analysis of an Eight Speed Gear Train Using a Narrowing Iterative Step Algorithm." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0050.

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Abstract Analysis of double composite gear trains using the algebraic equations method involves a great deal of manual manipulations. Though the tedium of the process is reduced to some extent by the use of the General Theory, it will not lead to realization of computer algorithm generalized for all kinematic versions of a drive. The present algorithm based on the Unified Theory provides an efficient method to find values of the largest gear at a design optimization point Sop. The narrowing iterative step technique facilitates rapid convergence to the pivotal point. Six kinematic versions of o

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Aly, Salah A., Andreas Klappenecker, and Pradeep Kiran Sarvepalli. "Duadic Group Algebra Codes." In 2007 IEEE International Symposium on Information Theory. IEEE, 2007. http://dx.doi.org/10.1109/isit.2007.4557530.

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