000			03295nam a22005295i 4500
001			978-0-8176-4523-6
003			DE-He213
005			20251006084435.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817645236
020			_a99780817645236
024	7		_a10.1007/978-0-8176-4523-6 _2doi
082	0	4	_a512 _223
100	1		_aHotta, Ryoshi. _eeditor.
245	1	0	_aD-Modules, Perverse Sheaves, and Representation Theory _h[electronic resource] / _cedited by Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2008.
300			_aXI, 412 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v236
505	0		_aD-Modules and Perverse Sheaves -- Preliminary Notions -- Coherent D-Modules -- Holonomic D-Modules -- Analytic D-Modules and the de Rham Functor -- Theory of Meromorphic Connections -- Regular Holonomic D-Modules -- Riemann-Hilbert Correspondence -- Perverse Sheaves -- Representation Theory -- Algebraic Groups and Lie Algebras -- Conjugacy Classes of Semisimple Lie Algebras -- Representations of Lie Algebras and D-Modules -- Character Formula of HighestWeight Modules -- Hecke Algebras and Hodge Modules.
520			_aD-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. Significant concepts and topics that have emerged over the last few decades are presented, including a treatment of the theory of holonomic D-modules, perverse sheaves, the all-important Riemann-Hilbert correspondence, Hodge modules, and the solution to the Kazhdan-Lusztig conjecture using D-module theory. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, and representation theory.
650		0	_aMATHEMATICS.
650		0	_aALGEBRA.
650		0	_aGEOMETRY, ALGEBRAIC.
650		0	_aGROUP THEORY.
650		0	_aTOPOLOGICAL GROUPS.
650	1	4	_aMATHEMATICS.
650	2	4	_aALGEBRA.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aCOMMUTATIVE RINGS AND ALGEBRAS.
650	2	4	_aALGEBRAIC GEOMETRY.
700	1		_aTakeuchi, Kiyoshi. _eeditor.
700	1		_aTanisaki, Toshiyuki. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643638
830		0	_aProgress in Mathematics ; _v236
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4523-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59683 _d59683