Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras

Details Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras

2009-05-18

arxiv.org/abs/0905.2746v2

Mathematics

Representation Theory

10 pages. Minor changes, references updated. To appear in Colloq. Math.

Scientific paper

We consider the socle deformations arising from formal deformations of a
class of Koszul self-injective special biserial algebras which occur in the
study of the Drinfeld double of the generalized Taft algebras. We show, for
these deformations, that the Hochschild cohomology ring modulo nilpotence is a
finitely generated commutative algebra of Krull dimension 2.

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