Cohomology of trivial extensions of Frobenius algebras

Details Cohomology of trivial extensions of Frobenius algebras Cohomology of trivial extensions of Frobenius algebras

2001-07-27

arxiv.org/abs/math/0107200v3

Mathematics

K-Theory and Homology

17 pages. This is a enterely rewriten version of the paper entitled "Cohomology of split algebras". We have made substancial c

Scientific paper

We obtain a decomposition for the Hochschild cochain complex of a split algebra and we study some properties of the cohomology of each term of this decomposition. Then, we consider the case of trivial extensions, specially of Frobenius algebras. In particular, we determine completely the cohomology of the trivial extension of a finite dimensional Hopf algebra. Finally, as an application, we obtain a result about the Hochschild cohomology of Frobenius algebras.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-675233