Abstract
In this paper, we determine the second Hochschild cohomology group for a class of self-injective algebras of tame representation type namely, which are standard one-parametric but not weakly symmetric. These were classified up to derived equivalence by Bocian, Holm and Skowronski in [1]. We connect this to the deformation of these algebras.
Highlights
This paper determines the second Hochschild cohomology group for all standard one-parametric but not weakly symmetric self-injective algebras of tame representation type
The results we found in this paper are in contrast to the majority of self-injective algebras of finite representation type
In contrast to the majority of self-injective algebras of finite representation type, we will show that the algebra p, q, k, s, has non-zero second Hochschild cohomology group
Summary
This paper determines the second Hochschild cohomology group for all standard one-parametric but not weakly symmetric self-injective algebras of tame representation type. We determine HH 2 for the algebra p, q, k, s, , considering separately the cases 1 s k 2 and s k 1 .
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