000			03264nam a22004695i 4500
001			978-0-85729-716-7
003			DE-He213
005			20140220083715.0
007			cr nn 008mamaa
008			110518s2011 xxk| s |||| 0|eng d
020			_a9780857297167 _9978-0-85729-716-7
024	7		_a10.1007/978-0-85729-716-7 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aGeck, Meinolf. _eauthor.
245	1	0	_aRepresentations of Hecke Algebras at Roots of Unity _h[electronic resource] / _cby Meinolf Geck, Nicolas Jacon.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXII, 404 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAlgebra and Applications ; _v15
505	0		_aGeneric Iwahori–Hecke algebras -- Kazhdan–Lusztig cells and cellular bases -- Specialisations and decomposition maps -- Hecke algebras and finite groups of Lie type -- Representation theory of Ariki–Koike algebras -- Canonical bases in affine type A and Ariki’s theorem -- Decomposition numbers for exceptional types.
520			_aThe modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras at roots of unity, this book is a particularly valuable addition to current research in this field. Using the framework provided by the Kazhdan-Lusztig theory of cells, the authors develop an analogue of James' (1970) "characteristic-free'' approach to the representation theory of Iwahori-Hecke algebras in general. Presenting a systematic and unified treatment of representations of Hecke algebras at roots of unity, this book is unique in its approach and includes new results that have not yet been published in book form. It also serves as background reading to further active areas of current research such as the theory of affine Hecke algebras and Cherednik algebras. The main results of this book are obtained by an interaction of several branches of mathematics, namely the theory of Fock spaces for quantum affine Lie algebras and Ariki's theorem, the combinatorics of crystal bases, the theory of Kazhdan-Lusztig bases and cells, and computational methods. This book will be of use to researchers and graduate students in representation theory as well as any researchers outside of the field with an interest in Hecke algebras.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aGroup theory.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aAssociative Rings and Algebras.
700	1		_aJacon, Nicolas. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857297150
830		0	_aAlgebra and Applications ; _v15
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-85729-716-7
912			_aZDB-2-SMA
999			_c105264 _d105264