書誌事項

Algebraic D-modules

A. Borel ... [et al.]

(Perspectives in mathematics, v. 2)

Academic Press, c1987

タイトル別名

D-modules

この図書・雑誌をさがす
注記

Second printing 1988: xiv, 355 p.

Includes one essay in French

Includes bibliographies and index

収録内容
  • Catégories dérivées et foncteurs dérivés / by P.-P. Grivel
  • Coherent D-modules / by B. Kaup
  • Local theory of meromorphic connections in dimension one (Fuchs theory) / by A. Haefliger
  • Regular connections after Deligne / by B. Malgrange
  • The Weyl algebra / by F. Ehlers
  • Operations on algebraic D-modules / by A. Borel
  • Coherent, holonomic and regular holonomic complexes / by A. Borel
  • The Riemann-Hilbert correspondence / by A. Borel
内容説明・目次

内容説明

Presented here are recent developments in the algebraic theory of D-modules. The book contains an exposition of the basic notions and operations of D-modules, of special features of coherent, holonomic, and regular holonomic D-modules, and of the Riemann-Hilbert correspondence. The theory of Algebraic D-modules has found remarkable applications outside of analysis proper, in particular to infinite dimensional representations of semisimple Lie groups, to representations of Weyl groups, and to algebraic geometry.

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