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Title Highlights in lie algebraic methods / Anthony Joseph, Anna Melnikov, Ivan Penkov, editors
Published [Boston] : Birkhäuser, ©2012

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Description 1 online resource (xv, 226 pages)
Series Progress in mathematics ; v. 295
Progress in mathematics (Boston, Mass.) ; v. 295.
Contents 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
Summary 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
Analysis Mathematics
Algebra
Matrix theory
Topological Groups
Topological Groups, Lie Groups
Category Theory, Homological Algebra
General Algebraic Systems
Linear and Multilinear Algebras, Matrix Theory
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (EBSCO, viewed November 9, 2017)
In Springer eBooks
Subject Lie algebras.
Mathematics.
Mathematics
mathematics.
applied mathematics.
MATHEMATICS -- Algebra -- Intermediate.
Mathematics
Lie algebras
Form Electronic book
Author Joseph, Anthony, 1942-
Melnikov, Anna.
Penkov, Ivan B. (Ivan Boyanov), 1957-
ISBN 9780817682743
0817682740
9780817682736
0817682732