Fields Institute Communications
Volume: 59; 2011; 213 pp; Hardcover
MSC: Primary 16; 17;
Print ISBN: 978-0-8218-5237-8
Product Code: FIC/59
List Price: $104.00
Individual Member Price: $83.20
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Geometric Representation Theory and Extended Affine Lie AlgebrasShare this page
Edited by Erhard Neher; Alistair Savage; Weiqiang Wang
A co-publication of the AMS and Fields Institute
Lie theory has connections to many other disciplines such as geometry,
number theory, mathematical physics, and algebraic combinatorics. The
interaction between algebra, geometry and combinatorics has proven to be
extremely powerful in shedding new light on each of these areas.
This book presents the lectures given at the Fields Institute Summer School on Geometric Representation Theory and Extended Affine Lie Algebras held at the University of Ottawa in 2009. It provides a systematic account by experts of some of the exciting developments in Lie algebras and representation theory in the last two decades. It includes topics such as geometric realizations of irreducible representations in three different approaches, combinatorics and geometry of canonical and crystal bases, finite \(W\)-algebras arising as the quantization of the transversal slice to a nilpotent orbit, structure theory of extended affine Lie algebras, and representation theory of affine Lie algebras at level zero.
This book will be of interest to mathematicians working in Lie algebras and to graduate students interested in learning the basic ideas of some very active research directions. The extensive references in the book will be helpful to guide non-experts to the original sources.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Table of Contents
Table of Contents
Geometric Representation Theory and Extended Affine Lie Algebras
Graduate students and research mathematicians interested in Lie algebras and algebraic combinatorics.