| Dewey Class |
512.55 (DDC 23) |
| Title |
Highlights in Lie Algebraic Methods ([Ebook]) / edited by Anthony Joseph, Anna Melnikov, Ivan Penkov. |
| Author |
Joseph, Anthony |
| Added Personal Name |
Melnikov, Anna |
| Penkov, Ivan |
| Other name(s) |
SpringerLink (Online service) |
| Edition statement |
1st ed. |
| Publication |
Boston : Birkhäuser , 2012. |
| Physical Details |
XV, 227 pages : 4 illus. : online resource. |
| Series |
Progress in mathematics ; 295 |
| ISBN |
9780817682743 |
| Summary Note |
An outgrowth of a two-week summer session' at Jacobs University in Bremen, Germany in August 2009 ("Structures in Lie Theory, Crystals, Derived Functors, HarishâChandra 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: |
| Contents note |
Preface -- Part I: The Courses -- 1 Spherical Varieties -- 2 Consequences of the Littelmann Path Model for the Structure of the Kashiwara B(â) 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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-0-8176-8274-3 |
| Links to Related Works |
Subject References:
Authors:
Corporate Authors:
Series:
Classification:
|
|---|
