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London Mathematical Society Lecture Note Series : Quantum Groups and Lie Theory Series Number 290 - Andrew Pressley

London Mathematical Society Lecture Note Series

Quantum Groups and Lie Theory Series Number 290

By: Andrew Pressley (Editor)

Paperback

Published: 17th January 2002
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Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems.

'... an interesting collection of papers in the field.' EMS Newsletter

Introduction
Lectures on cyclotomic Hecke algebras
An introduction to group doublecross products and some uses
Canonical bases and piecewise-linear combinatorics
Integrable and Weyl modules for quantum affine sl2
Notes on balanced categories and Hopf algebras
Lectures on the dynamical Yang-Baxter equations
Quantized primitive ideal spaces as quotients of affine algebraic varieties
Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity
The Yang-Baxter equation for operators on function fields
Noncommutative differential geometry and twisting of quantum groups
Finite quantum group and pointed Hopf algebras
On some two parameter quantum and Jordanian deformations, and their coloured extensions
Tensor categories and braid representations
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521010405
ISBN-10: 0521010403
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 242
Published: 17th January 2002
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.5
Weight (kg): 0.36