Mathematics – K-Theory and Homology
Scientific paper
2002-09-27
Mathematics
K-Theory and Homology
10 pages
Scientific paper
Let k be a field and let A be a Frobenius algebra over k. Assume that the Nakayama automorphism of A associated to a Frobenius homomorphism of A has finite order m, and k has a m-th primitive root of unity. Then, A has a natural Z/mZ-gradation. Consider the decomposition of the Hochschild cohomology HH*(A), of A with coefficients in A, induced by this gradation. We prove that just the 0-degree component of HH*(A) is non trivial. Moreover, we prove that if A is a strongly Z/mZ-graded algebra, then Z/mZ acts on the Hochschild cohomology HH*(A_0), of the 0-degree component of A, and HH*(A) is the set of invariants of this action.
Guccione Jorge A.
Guccione Juan J.
No associations
LandOfFree
Hochschild cohomology 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 Hochschild cohomology of Frobenius algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hochschild cohomology of Frobenius algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-171507