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001 | u370622 | ||
003 | SIRSI | ||
005 | 20160812080043.0 | ||
007 | cr nn 008mamaa | ||
008 | 110518s2011 xxk| s |||| 0|eng d | ||
020 |
_a9780857297167 _9978-0-85729-716-7 |
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040 | _cMX-MeUAM | ||
050 | 4 | _aQA174-183 | |
082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aGeck, Meinolf. _eauthor. |
|
245 | 1 | 0 |
_aRepresentations of Hecke Algebras at Roots of Unity _h[recurso electrónico] / _cby Meinolf Geck, Nicolas Jacon. |
264 | 1 |
_aLondon : _bSpringer London, _c2011. |
|
300 |
_aXII, 404 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
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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 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-716-7 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c198502 _d198502 |