A Primer of Algebraic D-Modules

A Primer of Algebraic D-Modules

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

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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.

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

1. The Weyl algebra; 2. Ideal structure of the Weyl algebra; 3. Rings of differential operators; 4. Jacobian conjectures; 5. Modules over the Weyl algebra; 6. Differential equations; 7. Graded and filtered modules; 8. Noetherian rings and modules; 9. Dimension and multiplicity; 10. Holonomic modules; 11. Characteristic varieties; 12. Tensor products; 13. External products; 14. Inverse image; 15. Embeddings; 16. Direct images; 17. Kashiwara's theorem; 18. Preservation of holonomy; 19. Stability of differential equations; 20. Automatic proof of identities.

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