A Primer of Algebraic D-Modules

A Primer of Algebraic D-Modules

by S. C. Coutinho, Coutinho S. C.
     
 

ISBN-10: 0521559081

ISBN-13: 9780521559089

Pub. Date: 09/28/1995

Publisher: Cambridge University Press

Combining ideas from algebra and differential equations, the theory of D-modules is a rich area of study with significant applications to diverse areas such as singularity theory and representation theory. This text introduces D-modules and their applications.  See more details below

Overview

Combining ideas from algebra and differential equations, the theory of D-modules is a rich area of study with significant applications to diverse areas such as singularity theory and representation theory. This text introduces D-modules and their applications.

Product Details

ISBN-13:
9780521559089
Publisher:
Cambridge University Press
Publication date:
09/28/1995
Series:
London Mathematical Society Student Texts Series, #33
Edition description:
New Edition
Pages:
220
Product dimensions:
5.98(w) x 8.98(h) x 0.51(d)

Related Subjects

Table of Contents

Preface
Introduction
Ch. 1The Weyl algebra
Ch. 2Ideal structure of the Weyl algebra
Ch. 3Rings of differential operators
Ch. 4Jacobian Conjecture
Ch. 5Modules over the Weyl algebra
Ch. 6Differential equations
Ch. 7Graded and filtered modules
Ch. 8Noetherian rings and modules
Ch. 9Dimension and multiplicity
Ch. 10Holonomic modules
Ch. 11Characteristic varieties
Ch. 12Tensor products
Ch. 13External products
Ch. 14Inverse Image
Ch. 15Embeddings
Ch. 16Direct images
Ch. 17Kashiwara's theorem
Ch. 18Preservation of holonomy
Ch. 19Stability of differential equations
Ch. 20Automatic proof of identities
Coda
Appendix 1. Defining the action of a module using generators
Appendix 2. Local inversion theorem
References
Index

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