Ideals of cubic algebras and an invariant ring of the Weyl algebra

Details Ideals of cubic algebras and an invariant ring of the Weyl algebra Ideals of cubic algebras and an invariant ring of the Weyl algebra

2006-01-05

arxiv.org/abs/math/0601096v2

Mathematics

Rings and Algebras

Scientific paper

We classify reflexive graded right ideals, up to isomorphism and shift, of generic cubic three dimensional Artin-Schelter regular algebras. We also determine the possible Hilbert functions of these ideals. These results are obtained by using similar methods as for quadratic Artin-Schelter algebras. In particular our results apply to the enveloping algebra of the Heisenberg-Lie algebra from which we deduce a classification of right ideals of an invariant ring of the first Weyl algebra.

Affiliated with

Also associated with

No associations

Rating

Ideals of cubic algebras and an invariant ring of the Weyl algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ideals of cubic algebras and an invariant ring of the Weyl algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ideals of cubic algebras and an invariant ring of the Weyl algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591363