Additional Product Features
Intended AudienceScholarly & Professional
LCCN86-047931
Dewey Edition19
IllustratedYes
Dewey Decimal514/.74
Table Of ContentP.-P Grivel, Categories Derivees et Foncteurs Derives. B. Kaup, Coherent D-Modules. A. Haefliger, Local Theory of Meromorphic Connections in Dimension One (Fuchs Theory). B. Malgrange, Regular Connections' After Deligne. F. Ehlers, The Weyl Algebra. A. Borel, Operations on Algebraic D-Modules. A. Borel, Coherent, Holonomic and Regular Holonomic Complexes. A. Borel, The Riemann-Hilbert Correspondence. References.
SynopsisPresented 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.
LC Classification NumberQA614.3.A44 1987