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In this paper we determine the second Hochschild cohomology group for a classof self-injective algebras of tame representation type namely, those which arestandard one-parametric but not weakly symmetric. These were classifed up toderived equivalence by Bocian, Holm and Skowro\'nski. We connect this to thedeformation of these algebras.

The Second Hochschild Cohomology Group for a Class of One-Parametric Self-Injective Algebras