Annihilating monomials with the integro-differential Weyl algebra

Authors:
Johannes Middeke
Affiliations:
University of Western Ontario, London (ON), Canada
Venue:
ACM Communications in Computer Algebra
Year:
2014

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Abstract

The integro-differential Weyl algebra provides an algebraic model for differential and integral operators with polynomial coefficients. It has a natural action on the ring of polynomials. We are interested in computing the annihilator of a given polynomial with respect to this action. This contribution contains a first step towards that goal---namely we give a description of the annihilator of a monomial.