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On Involutive Homogeneous Varieties and Representations of Weyl Algebras

✍ Scribed by S.C. Coutinho

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
135 KB
Volume
227
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper is concerned with the geometry of minimal involutive homogeneous varieties in complex affine 2n-space and its application to the study of the representation theory of the nth complex Weyl algebra A n . The main results are the existence of minimal involutive homogeneous varieties of any given codimension, and of A n -modules that have these varieties for characteristic variety. We also determine conditions on the codimensions of A n -modules M and N under which Ext 1 M N is a finite dimensional vector space.

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