Abstract
A full description is provided for the B V BV -structure on the Hochschild cohomology of exceptional local algebras of quaternion type determined by parameters ( k , 0 , d ) (k,0,d) in the case of an even parameter k ≥ 3 k \geq 3 , according to Erdmann’s classification. The method of comparison morphisms and the weak self-homotopy method are developed and used. This article may be viewed as a generalization of similar results about the B V BV -structures on the Hochschild cohomology of algebras of quaternion type.
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