Highlights in Lie Algebraic Methods

• Corporate Author: SpringerLink (Online service)
• Other Authors: Joseph, Anthony (Editor), Melnikov, Anna (Editor), Penkov, Ivan (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Edition: 1.
• Series: Progress in Mathematics ; 295
• Subjects: Mathematics.; Algebra.; Category theory (Mathematics).; Homological algebra.; Matrix theory.; Topological groups.; Lie groups.; Topological Groups, Lie Groups.; Category Theory, Homological Algebra.; General Algebraic Systems.; Linear and Multilinear Algebras, Matrix Theory.

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...

Table of 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.