Highlights in Lie Algebraic Methods

Highlights in Lie Algebraic Methods edited by Anthony Joseph, Anna Melnikov, Ivan Penkov.

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...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Joseph, Anthony (Editor), Melnikov, Anna (Editor), Penkov, Ivan (Editor)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
Edition:1st ed. 2012.
Series:Progress in Mathematics, 295
Springer eBook Collection.
Subjects:
Topological groups.
Lie groups.
Category theory (Mathematics).
Homological algebra.
Algebra.
Matrix theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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