Hochschild cohomology of brauer tree algebras |
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Authors: | Thorsten Holn |
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Affiliation: | 1. Mathematical Institute , 24-29 St. Glies, Oxford, 0X1 3LB, England;2. Institut für Algebra und Geometrie , Universit?t Magdeburg , Postfach 4120, Magdeburg, 39016, Germany E-mail: thorsten.holmQmathematik.uni-magdeburg.de |
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Abstract: | The aim of this paper is to study the structure of the Hochschild cohomology ring of Brauer tree algebras. We explicitly describe the even cohomology ring by generators and relations. This generalizes results of [11] on the Hochschild cohomology of blocks of modular group algebras with cyclic defect groups. |
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