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00000nam a22000005i 4500 |
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978-0-8176-4523-6 |
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|a 9780817645236
|9 978-0-8176-4523-6
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|a 10.1007/978-0-8176-4523-6
|2 doi
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|a 512
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|a Hotta, Ryoshi.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a D-Modules, Perverse Sheaves, and Representation Theory
|h [electronic resource] /
|c by Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki.
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|a 1st ed. 2008.
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|a Boston, MA :
|b Birkhäuser Boston :
|b Imprint: Birkhäuser,
|c 2008.
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|a XI, 412 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
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|a Progress in Mathematics,
|x 2296-505X ;
|v 236
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|a D-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.
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|a D-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.
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|a Algebra.
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|a Group theory.
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|a Topological groups.
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|a Lie groups.
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|a Commutative algebra.
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|a Commutative rings.
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|a Algebraic geometry.
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|a Algebra.
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|a Group Theory and Generalizations.
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|a Topological Groups and Lie Groups.
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|a Commutative Rings and Algebras.
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|a Algebraic Geometry.
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|a Takeuchi, Kiyoshi.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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1 |
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|a Tanisaki, Toshiyuki.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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2 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9780817670818
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|i Printed edition:
|z 9780817643638
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|a Progress in Mathematics,
|x 2296-505X ;
|v 236
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|u https://doi.uam.elogim.com/10.1007/978-0-8176-4523-6
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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