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arXiv · 2109.01814

$BV$-structure on Hochschild cohomology for exceptional local algebras of quaternion type. Case of even parameter

Alexander Generalov·Andrei V. Semenov
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Abstract

We give a full description of the $BV$-structure on the Hochschild cohomology of exceptional local algebras of quaternion type, defined by parameters $(k,0,d)$ in case of even parameter $k \geqslant 3$, according to Erdmann's classification. We develop and use the method of comparison morphisms and weak self-homotopy method. This article states as a generalization of similar results about $BV$-structures on Hochscild cohomology of algebras of quaternion type.

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Alexander Generalov, Andrei V. Semenov. 2021-09-04. $BV$-structure on Hochschild cohomology for exceptional local algebras of quaternion type. Case of even parameter. https://arxiv.org/abs/2109.01814

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