A Primer of Algebraic D-Modules

A Primer of Algebraic D-Modules
Author: S. C. Coutinho
Publisher: Cambridge University Press
Total Pages: 223
Release: 1995-09-07
Genre: Mathematics
ISBN: 0521551196

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The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications avoiding all unnecessary over-sophistication. It is aimed at beginning graduate students and the approach taken is algebraic, concentrating on the role of the Weyl algebra. Very few prerequisites are assumed, and the book is virtually self-contained. Exercises are included at the end of each chapter and the reader is given ample references to the more advanced literature. This is an excellent introduction to D-modules for all who are new to this area.


A Primer of Algebraic D-Modules
Language: en
Pages: 223
Authors: S. C. Coutinho
Categories: Mathematics
Type: BOOK - Published: 1995-09-07 - Publisher: Cambridge University Press

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The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas su
Algebraic D-modules
Language: en
Pages: 382
Authors: Armand Borel
Categories: Mathematics
Type: BOOK - Published: 1987 - Publisher:

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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, o
D-Modules, Perverse Sheaves, and Representation Theory
Language: en
Pages: 408
Authors: Ryoshi Hotta
Categories: Mathematics
Type: BOOK - Published: 2007-11-07 - Publisher: Springer Science & Business Media

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D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation t
D-modules and Microlocal Calculus
Language: en
Pages: 276
Authors: Masaki Kashiwara
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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Masaki Kashiwara is undoubtedly one of the masters of the theory of $D$-modules, and he has created a good, accessible entry point to the subject. The theory of
Regular and Irregular Holonomic D-Modules
Language: en
Pages: 119
Authors: Masaki Kashiwara
Categories: Mathematics
Type: BOOK - Published: 2016-05-26 - Publisher: Cambridge University Press

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A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.