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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
Department of Mathematics, The Catholic University of America, Washington DC 20064, United States of America, e-mail:
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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.

Research Article
Copyright © Australian Mathematical Society 2000



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