000			03529nam a22003978i 4500
001			CR9780511542848
003			UkCbUP
005			20200124160334.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090505s2002||||enk o ||1 0|eng|d
020			_a9780511542848 (ebook)
020			_z9780521010405 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC20.7.G76 _bQ82 1999
082	0	0	_a530.15/255 _221
111	2		_aLMS Durham Symposium on Quantum Groups _d(1999 : _cGrey College, University of Durham)
245	1	0	_aQuantum groups and Lie theory / _cedited by Andrew Pressley.
246	3		_aQuantum Groups & Lie Theory
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (viii, 234 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v290
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aLectures 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 sl₂ / 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.
520			_aSince 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.
650		0	_aQuantum groups _vCongresses.
650		0	_aLie groups _vCongresses.
650		0	_aMathematical physics _vCongresses.
700	1		_aPressley, Andrew, _eeditor.
776	0	8	_iPrint version: _z9780521010405
830		0	_aLondon Mathematical Society lecture note series ; _v290.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511542848
999			_c522820 _d522818