D-Modules, Perverse Sheaves, and Representation Theory (Progress in Mathematics 236)

D-Modules, Perverse Sheaves, and Representation Theory (Progress in Mathematics 236)

By: Kiyoshi Takeuchi (author), Ryoshi Hotta (author), Toshiyuki Tanisaki (author), Kiyoshi Takeuchi (translator)Hardback

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Description

D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, 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. 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, representation theory.

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.

Product Details

  • ISBN13: 9780817643638
  • Format: Hardback
  • Number Of Pages: 412
  • ID: 9780817643638
  • weight: 1710
  • ISBN10: 081764363X

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