000			03398nam a22005775i 4500
001			978-0-8176-4523-6
003			DE-He213
005			20161121231210.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817645236 _9978-0-8176-4523-6
024	7		_a10.1007/978-0-8176-4523-6 _2doi
050		4	_aQA150-272
072		7	_aPBF _2bicssc
072		7	_aMAT002000 _2bisacsh
082	0	4	_a512 _223
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	_aAlgebraic geometry.
650		0	_aCommutative algebra.
650		0	_aCommutative rings.
650		0	_aGroup theory.
650		0	_aTopological groups.
650		0	_aLie 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		_aHotta, Ryoshi. _eeditor.
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
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510019 _d510019