A Primer of Algebraic D-Modules

AvS. C. Coutinho

Inbunden, Engelska, 1995

Del 33 i serien London Mathematical Society Student Texts

1 737 kr

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635 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:1995-09-07
Mått:157 x 235 x 18 mm
Vikt:438 g
Format:Inbunden
Språk:Engelska
Serie:London Mathematical Society Student Texts
Antal sidor:220
Förlag:Cambridge University Press
ISBN:9780521551199

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Recensioner i media

'I truly recommend this book, both for its mathematical content and for its light reading.' Bulletin of the London Mathematic Society

Innehållsförteckning

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.