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Representations of Algebraic Groups, Quantum Groups, and Lie Algebras

Representations of Algebraic Groups, Quantum Groups, and Lie Algebras AMS-IMS-SIAM Joint Summer Research Conference, July 11-15, 2004, Snowbird Resort, Snowbird, Utah - Contemporary Mathematics

illustrated Edition

Paperback (30 Sep 2006)

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Publisher's Synopsis

The book contains several well-written, accessible survey papers in many interrelated areas of current research. These areas cover various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. Geometric methods have been instrumental in representation theory, and these proceedings include surveys on geometric as well as combinatorial constructions of the crystal basis for representations of quantum groups. Humphreys' paper outlines intricate connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic, left cells in two sided cells of affine Weyl groups, and the geometry of the nilpotent orbits. All these papers provide the reader with a broad picture of the interaction of many different research areas and should be helpful to those who want to have a glimpse of current research involving representation theory.

Book information

ISBN: 9780821839249
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
Edition: illustrated Edition
DEWEY: 512.22
DEWEY edition: 22
Language: English
Number of pages: 254
Weight: 478g
Height: 254mm
Width: 177mm
Spine width: 19mm