Twisted Bimodules and Hochschild Cohomology for Self-injective Algebras of Class A n , II |
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Authors: | Karin Erdmann Thorsten Holm Nicole Snashall |
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Affiliation: | (1) Mathematical Institute, University of Oxford, 24-29 St. Giles, Oxford, OX1 3LB, U.K;(2) Institut für Algebra und Geometrie, Universität Magdeburg, Postfach 4120, 39016 Magdeburg, Germany;(3) Department of Mathematics, University of Leicester, Leicester, LE1 7RH, U.K |
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Abstract: | Up to derived equivalence, the representation-finite self-injective algebras of class An are divided into the wreath-like algebras (containing all Brauer tree algebras) and the Möbius algebras. In Part I (Forum Math.11 (1999), 177–201), the ring structure of Hochschild cohomology of wreath-like algebras was determined, the key observation being that kernels in a minimal bimodule resolution of the algebras are twisted bimodules. In this paper we prove that also for Möbius algebras certain kernels in a minimal bimodule resolution carry the structure of a twisted bimodule. As an application we obtain detailed information on subrings of the Hochschild cohomology rings of Möbius algebras. |
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Keywords: | Hochschild cohomology self-injective algebras of class An finite representation type twisted bimodules |
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