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Characteristic polynomials of finitely generated modules over Weyl algebras

Published online by Cambridge University Press:  17 April 2009

Alexander B. Levin
Alexander B. Levin
Affiliation:
Department of Mathematics, The Catholic University of America, Washington DC 20064, United States of America, e-mail: levin@cua.edu
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Abstract

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In this paper we modify the classical Gröbner basis technique and prove the existence of a characteristic polynomial in two variables associated with a finitely generated module over a Weyl algebra. We determine invariants of such a polynomial and show that some of the invariants are not carried by the Bernstein dimension polynomial of the module.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 387 - 403
Copyright
Copyright © Australian Mathematical Society 2000

References

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