Cohomology of twisted tensor products

Details Cohomology of twisted tensor products Cohomology of twisted tensor products

2008-03-26

arxiv.org/abs/0803.3689v1

Mathematics

K-Theory and Homology

10 pages

Scientific paper

It is well known that the cohomology of a tensor product is essentially the tensor product of the cohomologies. We look at twisted tensor products, and investigate to which extend this is still true. We give an explicit description of the $\Ext$-algebra of the tensor product of two modules, and under certain additional conditions, describe an essential part of the Hochschild cohomology ring of a twisted tensor product. As an application, we characterize precisely when the cohomology groups over a quantum complete intersection are finitely generated over the Hochschild cohomology ring. Moreover, both for quantum complete intersections and in related cases we obtain a lower bound for the representation dimension of the algebra.

Affiliated with

Also associated with

No associations

Rating

Cohomology of twisted tensor products 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 Cohomology of twisted tensor products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of twisted tensor products will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49700