Bahturin Infinite Dimens Liesuperalgebras Gem 7

Author : I︠U︡. A. Bakhturin
Publisher : Walter de Gruyter
Page : 268 pages
File Size : 54,9 Mb
Release : 1992
Category : Mathematics
ISBN : 3110129744

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Bahturin:infinite Dimens.liesuperalgebras Gem 7 by I︠U︡. A. Bakhturin Pdf

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Author : Neelacanta Sthanumoorthy
Publisher : Academic Press
Page : 512 pages
File Size : 50,6 Mb
Release : 2016-04-26
Category : Mathematics
ISBN : 9780128046838

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras by Neelacanta Sthanumoorthy Pdf

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras Focuses on Kac-Moody algebras

Author : Victor G. Kac
Publisher : Springer Science & Business Media
Page : 267 pages
File Size : 41,5 Mb
Release : 2013-11-09
Category : Mathematics
ISBN : 9781475713824

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Infinite Dimensional Lie Algebras by Victor G. Kac Pdf

Author : Sergei Silvestrov,Anatoliy Malyarenko
Publisher : Springer Nature
Page : 833 pages
File Size : 40,8 Mb
Release : 2023-09-25
Category : Mathematics
ISBN : 9783031320095

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Non-commutative and Non-associative Algebra and Analysis Structures by Sergei Silvestrov,Anatoliy Malyarenko Pdf

The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks: 1. Stochastic processes and modern statistical methods in theory and practice, 2. Engineering Mathematics, 3. Algebraic Structures and applications. This book highlights the latest advances in algebraic structures and applications focused on mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods for the natural sciences, engineering, and modern technology. In particular, the book features mathematical methods and models from non-commutative and non-associative algebras and rings associated to generalizations of differential calculus, quantum deformations of algebras, Lie algebras, Lie superalgebras, color Lie algebras, Hom-algebras and their n-ary generalizations, semi-groups and group algebras, non-commutative and non-associative algebras and computational algebra interplay with q-special functions and q-analysis, topology, dynamical systems, representation theory, operator theory and functional analysis, applications of algebraic structures in coding theory, information analysis, geometry and probability theory. The book gathers selected, high-quality contributed chapters from several large research communities working on modern algebraic structures and their applications. The chapters cover both theory and applications, and are illustrated with a wealth of ideas, theorems, notions, proofs, examples, open problems, and results on the interplay of algebraic structures with other parts of Mathematics. The applications help readers grasp the material, and encourage them to develop new mathematical methods and concepts in their future research. Presenting new methods and results, reviews of cutting-edge research, open problems, and directions for future research, will serve as a source of inspiration for a broad range of researchers and students.

Author : Yuri Bahturin,Alexander V. Mikhalev,Viktor M. Petrogradsky,Mikhail V. Zaicev
Publisher : Walter de Gruyter
Page : 261 pages
File Size : 53,8 Mb
Release : 2011-04-20
Category : Mathematics
ISBN : 9783110851205

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Infinite Dimensional Lie Superalgebras by Yuri Bahturin,Alexander V. Mikhalev,Viktor M. Petrogradsky,Mikhail V. Zaicev Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Author : A. Giambruno,César Polcino Milies,Sudarshan K. Sehgal
Publisher : American Mathematical Soc.
Page : 283 pages
File Size : 54,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847718

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Groups, Rings and Group Rings by A. Giambruno,César Polcino Milies,Sudarshan K. Sehgal Pdf

Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.

Author : Donald S. Passman,William Chin,James Osterburg,Declan Patrick Francis Quinn
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 44,7 Mb
Release : 2006
Category : Group algebras
ISBN : 9780821839041

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Groups, Rings and Algebras by Donald S. Passman,William Chin,James Osterburg,Declan Patrick Francis Quinn Pdf

Read Write Inc. Fresh Start is a specially adapted literacy programme for all pupils in Years 5, 6 and 7 who are working below National Curriculum level 3. Like Read Write Inc. Phonics for pupils in the early years, the scheme starts by introducing pupils to all the letter sounds through use of the Speed Sounds cards and the green and red flashcards.Pupils progress through these sets of workbooks at their own pace, after they have completed the Introductory module. Modules 1-10 include both fiction and non-fiction texts and cover a range of cross-curricular topics. Practise in writing, spelling, editing and comprehension is provided at every level.

Author : Alexander Mikhalev,Vladimir Shpilrain,Jie-tai Yu
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 44,5 Mb
Release : 2004
Category : Mathematics
ISBN : 0387405623

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Combinatorial Methods by Alexander Mikhalev,Vladimir Shpilrain,Jie-tai Yu Pdf

The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras).

Author : C. M. Campbell,E. F. Robertson,G. C. Smith
Publisher : Cambridge University Press
Page : 320 pages
File Size : 54,9 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 0521537401

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Groups St Andrews 2001 in Oxford: Volume 2 by C. M. Campbell,E. F. Robertson,G. C. Smith Pdf

This second volume of the two-volume book contains selected papers from the conference 'Groups St Andrews 2001 in Oxford'. The articles are contributed by a number of leading researchers and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles. The 'Groups St Andrews' proceedings volumes are a snapshot of the state of the art in group theory and they often play an important role in future developments in the subject.

Author : Victor G. Kac
Publisher : Cambridge University Press
Page : 428 pages
File Size : 55,7 Mb
Release : 1990
Category : Mathematics
ISBN : 0521466938

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Infinite-Dimensional Lie Algebras by Victor G. Kac Pdf

The third, substantially revised edition of a monograph concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie albegras, and their representations, based on courses given over a number of years at MIT and in Paris.

Author : Ivan Kolev Dimitrov
Publisher : Unknown
Page : 114 pages
File Size : 44,5 Mb
Release : 1998
Category : Lie algebras
ISBN : UCR:31210010608469

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Weight Modules of Infinite-dimensional Lie Algebras and Lie Superalgebras by Ivan Kolev Dimitrov Pdf

Author : Rose Arny
Publisher : Unknown
Page : 1928 pages
File Size : 42,8 Mb
Release : 1993-04
Category : American literature
ISBN : UOM:39015016315262

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Forthcoming Books by Rose Arny Pdf

Author : David B.A. Epstein
Publisher : CRC Press
Page : 344 pages
File Size : 48,8 Mb
Release : 1992-11-02
Category : Mathematics
ISBN : 9781439865699

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Word Processing in Groups by David B.A. Epstein Pdf

This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to

Author : Y. N. Lakshman
Publisher : Association for Computing Machinery (ACM)
Page : 340 pages
File Size : 55,5 Mb
Release : 1996
Category : Algebra
ISBN : UVA:X004206095

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ISSAC '96 by Y. N. Lakshman Pdf

Author : Anonim
Publisher : Unknown
Page : 652 pages
File Size : 50,8 Mb
Release : 1993
Category : Mathematics
ISBN : UOM:39015051367699

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Mathematical Reviews by Anonim Pdf