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D-Modules, Perverse Sheaves, and Representation Theory

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ISBN-10: 081764363X

ISBN-13: 9780817643638

Edition: 2008

Authors: Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki, Toshiyuki Tanisaki

List price: $109.99
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This work examines in detail the foundations of D-module theory and its intersection with cohomology groups and representation theory. This systematic and carefully written exposition begins with preliminary concepts before focusing on some basic but important theories that have emerged in the last few decades. Significant topics that have emerged as studies in their own right include a treatment of the theory of holonomic D-modules, perverse sheaves, the Riemann-Hilbert correspondence, Hodge modules, and Kazhdan-Lusztig polynomials. To further aid the reader, appendices are provided as reviews for the theory of derived categories and algebraic varieties. "D-modules, Perverse Sheaves,…    
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Book details

List price: $109.99
Copyright year: 2008
Publisher: Birkh�user Boston
Publication date: 11/7/2007
Binding: Hardcover
Pages: 412
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.518
Language: English

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 Highest Weight Modules
Hecke Algebras and Hodge Modules
Algebraic Varieties
Derived Categories and Derived Functors
Sheaves and Functors in Derived Categories
Filtered Rings
Symplectic Geometry
List of Notation