Franklin

Quantum groups and Lie theory / edited by Andrew Pressley. [electronic resource]

Publication:
Cambridge : Cambridge University Press, 2002.
Format/Description:
Conference/Event
Book
1 online resource (viii, 234 pages) : digital, PDF file(s).
Conference Name:
LMS Durham Symposium on Quantum Groups (1999 : Grey College, University of Durham)
Series:
London Mathematical Society lecture note series ; 290.
London Mathematical Society lecture note series ; 290
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Other records:
Other Title:
Quantum Groups & Lie Theory
Subjects:
Quantum groups -- Congresses.
Lie groups -- Congresses.
Mathematical physics -- Congresses.
Language:
English
Summary:
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.
Contents:
Lectures on cyclotomic Hecke algebras / Susumu Ariki
An introduction to group doublecross products and some uses / Edwin Beggs
Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh
Integrable and Weyl modules for quantum affine slâ‚‚ / Vyjayanthi Chari & Andrew Pressley
Notes on balanced categories and Hopf algebras / Bernhard Drabant
Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann
Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl
Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon
The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges
Noncommutative differential geometry and twisting of quantum groups / Shahn Majid
Finite quantum groups and pointed Hopf algebras / Ian M. Musson
On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott
Tensor categories and Braid reprentations / Hans Wenzl.
Notes:
Includes bibliographical references.
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contributor:
Pressley, Andrew, editor.
ISBN:
1-107-12625-8
1-280-41444-8
9786610414444
1-139-14792-7
0-511-18029-2
0-511-06522-1
0-511-05889-6
0-511-54284-4
0-511-30725-X
0-511-06735-6
OCLC:
437068991