000			03557nam a22004695i 4500
001			u370501
003			SIRSI
005			20160812080036.0
007			cr nn 008mamaa
008			101013s2011 xxk| s |||| 0|eng d
020			_a9780857291578 _9978-0-85729-157-8
040			_cMX-MeUAM
050		4	_aQA150-272
082	0	4	_a512 _223
100	1		_aBonnafé, Cédric. _eauthor.
245	1	0	_aRepresentations of SL2(Fq) _h[recurso electrónico] / _cby Cédric Bonnafé.
264		1	_aLondon : _bSpringer London, _c2011.
300			_aXXII, 186 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 ; _v13
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.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aGeometry, algebraic.
650		0	_aGroup theory.
650	1	4	_aMathematics.
650	2	4	_aAlgebra.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aGroup Theory and Generalizations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780857291561
830		0	_aAlgebra and Applications ; _v13
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-157-8
596			_a19
942			_cLIBRO_ELEC
999			_c198381 _d198381