内容简介

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.

目录

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

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用户评论

主要是从纯代数角度讲代数D-模理论，中间适当插入一些代数几何与微分方程作为调味剂，内容富有趣味性，习题也不太难，读起来的非常轻松愉快啊~