Support varieties and representation type of small quantum groups

Details Support varieties and representation type of small quantum groups Support varieties and representation type of small quantum groups

2009-10-08

arxiv.org/abs/0910.1383v2

Internat. Math. Res. Notices 2010, no. 7, 1346-1362

Mathematics

Representation Theory

14 pages; minor revisions; to appear in Int. Math. Res. Not

Scientific paper

In this paper we provide a wildness criterion for any finite dimensional Hopf algebra with finitely generated cohomology. This generalizes a result of Farnsteiner to not necessarily cocommutative Hopf algebras over ground fields of arbitrary characteristic. Our proof uses the theory of support varieties for modules, one of the crucial ingredients being a tensor product property for some special modules. As an application we prove a conjecture of Cibils stating that small quantum groups of rank at least two are wild.

Affiliated with

Also associated with

No associations

Rating

Support varieties and representation type of small quantum groups 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 Support varieties and representation type of small quantum groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Support varieties and representation type of small quantum groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351896