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Hochschild Cohomology of Brauer Tree Algebras

by Holm, T..

Series: 1995-25, Preprints

16E40 (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.)

The aim of this paper is to study the structure of the Hochschild co-
homology ring of Brauer tree algebras. We explicitly describe the even
cohomology rings by generators and relations. This generalizes results of
[Ho[] on the Hochschild cohomology of blocks of modular group algebras
with cyclic defect groups.
[Ho[] Holm, T.: The even Hochschild cohomology ring of a block with cyclic
defect group. Journal of Algebra 178, 317--341 (1995)
Fakultät für Mathematik
Universität Magdeburg
D--39016 Magdeburg
e--mail: thorsten.holm@mathematik.uni-magdeburg.de


This paper was published in:
Communications in Algebra 26(11), 3625-3646 (1998)