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020 _a9780857297167
_99780857297167
024 7 _a10.1007/9780857297167
_2doi
035 _avtls000333970
039 9 _a201509030243
_bVLOAD
_c201404130608
_dVLOAD
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA174-183
100 1 _aGeck, Meinolf.
_eautor
_9305706
245 1 0 _aRepresentations of Hecke Algebras at Roots of Unity /
_cby Meinolf Geck, Nicolas Jacon.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _axii, 404 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aAlgebra and Applications ;
_v15
500 _aSpringer eBooks
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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aJacon, Nicolas.
_eautor
_9305707
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780857297150
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-85729-716-7
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c280636
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