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

Andrei V. Semenov

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

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arxiv 2204.07736 v1 pith:MPF2LUMC submitted 2022-04-16 math.KT

Andrei V. Semenov This is my paper · ORCID

classification math.KT

keywords algebrasquaternionstructurecasecohomologyexceptionalparametertype

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abstract

This is the second paper in the cycle of articles about $BV$-structure on Hochshild cohomology of exceptional algebras of quaternion type. We give $BV$-structure's full description in the case of quaternion algebras $R(k,0,d)$, defined by parameter $k = 2$ according to Erdmann classification.

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