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Highlights in Lie Algebraic Methods / edited by Anthony Joseph, Anna Melnikov, Ivan Penkov
(Progress in Mathematics. ISSN:2296505X ; 295)

1st ed. 2012.
出版者 Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年 2012
大きさ XV, 227 p. 4 illus : online resource
著者標目 Joseph, Anthony editor
Melnikov, Anna editor
Penkov, Ivan editor
SpringerLink (Online service)
件 名 LCSH:Topological groups
LCSH:Lie groups
LCSH:Algebra, Homological
LCSH:Universal algebra
LCSH:Algebra
LCSH:Algebras, Linear
FREE:Topological Groups and Lie Groups
FREE:Category Theory, Homological Algebra
FREE:General Algebraic Systems
FREE:Algebra
FREE:Linear Algebra
一般注記 Preface -- Part I: The Courses -- 1 Spherical Varieties -- 2 Consequences of the Littelmann Path Model for the Structure of the Kashiwara B(∞) Crystal -- 3 Structure and Representation Theory of Kac–Moody Superalgebras -- 4 Categories of Harish–Chandra Modules -- 5 Generalized Harish–Chandra Modules -- Part II: The Papers -- 6 B-Orbits of 2-Nilpotent Matrices.- 7 The Weyl Denominator Identity for Finite-Dimensional Lie Superalgebras -- 8 Hopf Algebras and Frobenius Algebras in Finite Tensor Categories -- 9 Mutation Classes of 3 x 3 Generalized Cartan Matrices -- 10 Contractions and Polynomial Lie Algebras
An outgrowth of a two-week summer session at Jacobs University in Bremen, Germany in August 2009 ("Structures in Lie Theory, Crystals, Derived Functors, Harish–Chandra Modules, Invariants and Quivers"), this volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac–Moody superalgebras, categories of Harish–Chandra modules, cohomological methods, and cluster algebras.  List of Contributors:  M. Boos M. Brion J. Fuchs M. Gorelik A. Joseph M. Reineke C. Schweigert V. Serganova A. Seven W. Soergel B. Wilson G. Zuckerman
HTTP:URL=https://doi.org/10.1007/978-0-8176-8274-3
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Springer eBooks 9780817682743
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EB00199713

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データ種別 電子ブック
分 類 LCC:QA252.3
LCC:QA387
DC23:512.55
DC23:512.482
書誌ID 4000116073
ISBN 9780817682743

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