Algebraic D-modules
Author(s)
Bibliographic Information
Algebraic D-modules
（Perspectives in mathematics, v. 2）
Academic Press, c1987
- Other Title
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D-modules
Available at / 82 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
BOR||2||9||複本87077193
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Note
Second printing 1988: xiv, 355 p.
Includes one essay in French
Includes bibliographies and index
Contents of Works
- 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
Description and Table of Contents
Description
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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