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001			280989
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007			cr nn 008mamaa
008			150903s2011 xxk| o |||| 0|eng d
020			_a9780857291578 _99780857291578
024	7		_a10.1007/9780857291578 _2doi
035			_avtls000333822
039		9	_a201509030241 _bVLOAD _c201404130540 _dVLOAD _c201404092329 _dVLOAD _y201402041133 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA150-272
100	1		_aBonnafé, Cédric. _eautor _9306296
245	1	0	_aRepresentations of SL2(Fq) / _cby Cédric Bonnafé.
264		1	_aLondon : _bSpringer London, _c2011.
300			_axxii, 186 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 ; _v13
500			_aSpringer eBooks
505	0		_aPart I Preliminaries -- Structure of SL2(Fq) -- The Geometry of the Drinfeld Curve -- Part II Ordinary Characters -- Harish-Chandra Induction -- Deligne-Lusztig Induction -- The Character Table -- Part III Modular Representations -- More about Characters of G and of its Sylow Subgroups -- Unequal Characteristic: Generalities -- Unequal Characteristic: Equivalences of Categories -- Unequal Characteristic: Simple Modules, Decomposition Matrices -- Equal Characteristic -- Part IV Complements -- Special Cases -- Deligne-Lusztig Theory: an Overview -- Part V Appendices -- A l-Adic Cohomology -- B Block Theory -- C Review of Reflection Groups.
520			_aDeligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provide the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects. The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups. At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780857291561
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-85729-157-8 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280989 _d280989