rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: D-Modules, Perverse Sheaves, and Representation Theory
  name:
    name part: Hotta, Ryoshi.
    role:
      role term: editor.
  name:
    name part: Takeuchi, Kiyoshi.
    role:
      role term: editor.
  name:
    name part: Tanisaki, Toshiyuki.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 412 p. online resource.
  abstract: 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.
  table of 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.
  note: edited by Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Algebraic geometry
  subject:
    topic: Commutative algebra
  subject:
    topic: Commutative rings
  subject:
    topic: Group theory
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Topological Groups, Lie Groups
  subject:
    topic: Commutative Rings and Algebras
  subject:
    topic: Algebraic Geometry
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Mathematics ; 236
  identifier: 9780817645236
  identifier: http://dx.doi.org/10.1007/978-0-8176-4523-6
  record info:
    record creation date: 100301
    record change date: 20151204153845.0
    record identifier: 978-0-8176-4523-6