Twisted bimodules and Hochschild cohomology for self-injective algebras ofclass A(n)

Citation
K. Erdmann et T. Holm, Twisted bimodules and Hochschild cohomology for self-injective algebras ofclass A(n), FORUM MATH, 11(2), 1999, pp. 177-201
Citations number
14
Categorie Soggetti
Mathematics
Journal title
FORUM MATHEMATICUM
ISSN journal
09337741 → ACNP
Volume
11
Issue
2
Year of publication
1999
Pages
177 - 201
Database
ISI
SICI code
0933-7741(1999)11:2<177:TBAHCF>2.0.ZU;2-2
Abstract
We study stable homomorphisms for twisted bimodule structures on a finite-d imensional self-injective algebra. We use this to give a presentation for t he Hochschild cohomology ring of self-injective Nakayama algebras. By deriv ed equivalence, this gives also the Hochschild cohomology ring for arbitrar y self-injective whose stable Auslander-Reiten quiver is of the form ZA(n)/ [tau(e]). Moreover, we obtain a new characterization of self-injective Naka yama algebras.