Highlights in Lie Algebraic Methods: 295 2012th Edition

Highlights in Lie Algebraic Methods: 295 2012th Edition book cover

Highlights in Lie Algebraic Methods: 295 2012th Edition

Author(s): Anthony Joseph (Editor), Anna Melnikov (Editor), Ivan Penkov (Editor)

  • Publisher: Birkhäuser
  • Publication Date: 19 Oct. 2011
  • Edition: 2012th
  • Language: English
  • Print length: 242 pages
  • ISBN-10: 0817682732
  • ISBN-13: 9780817682736

Book Description

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.

Editorial Reviews

Review

Aus den Rezensionen:

“… bietet mit den Kursausarbeitungen eine gute Einstiegsmöglichkeit für interessierte Leser, die die algebraische Lie Theorie besser kennenlernen wollen.” (D. BURDE, in: Monatshefte für Mathematik, Januar/2013, Vol. 169, Issue 1, S. 122 f.)

From the Back Cover

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

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