Hochschild cohomology of Frobenius algebras
| dc.creator | Guccione, Jorge A. | |
| dc.creator | Guccione, Juan J. | |
| dc.date | 2002-09-27 | |
| dc.date.accessioned | 2026-07-07T04:51:20Z | |
| dc.date.available | 2026-07-07T04:51:20Z | |
| dc.description | 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. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209391 | |
| dc.identifier | http://arxiv.org/abs/math/0209391 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65109 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 16C40; 16D20 | |
| dc.title | Hochschild cohomology of Frobenius algebras | |
| dc.type | text |