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D-modules, perverse sheaves, and representation theory

Author: R Hotta; Kiyoshi Takeuchi; Toshiyuki Tanisaki
Publisher: Boston : Birkhäuser, ©2008.
Series: Progress in mathematics (Boston, Mass.), v. 236.
Edition/Format:   eBook : Document : English : English edView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Hotta, R. (Ryoshi).
D-modules, perverse sheaves, and representation theory.
Boston : Birkhäuser, c2008
(DLC) 2004059581
(OCoLC)56614321
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R Hotta; Kiyoshi Takeuchi; Toshiyuki Tanisaki
ISBN: 081764363X 9780817643638 9780817645236 0817645233
OCLC Number: 316693861
Description: 1 online resource (x, 407 p.) : ill.
Contents: 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.
Series Title: Progress in mathematics (Boston, Mass.), v. 236.
Other Titles: D-kagun to daisūgun.
Responsibility: Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki ; translated by Kiyoshi Takeuchi.
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Abstract:

This work examines in detail the foundations of D-module theory and its intersection with perverse sheaves and representation theory. Systematic and carefully written, this is a unique and essential  Read more...

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From the reviews: "A self-contained introduction to D-modules, with the aim of showing how they were used to solve the Kazhdan-Lusztig conjecture. ... present book can be used as a good reference on Read more...

 
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