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We give BV-structures full description for case of even dimension $k ge 3$ on Hochschild cohomology for exeptional local algebras of quaternion type, defined by parameters $(0,d)$, according to Erdmann classification. This article states as a generalization of similar results about $BV$-structures on quaternion type algebras.
Consider a smooth affine algebraic variety $X$ over an algebraically closed field, and let a finite group $G$ act on it. We assume that the characteristic of the field is greater than the dimension of $X$ and the order of $G$. An explicit formula for
In this paper we investigate the functoriality properties of map-graded Hochschild complexes. We show that the category MAP of map-graded categories is naturally a stack over the category of small categories endowed with a certain Grothendieck topolo
We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH*$(A)$ when $A$ is a quadratic string algebra. First we compute the Hochschild cohomology groups using Barzdells resolution and we describe generators of these groups. Then
We compute the Hochschild cohomology groups $HH^*(A)$ in case $A$ is a triangular string algebra, and show that its ring structure is trivial.
We define a BV-structure on the Hochschild-cohomology of a unital, associative algebra A with a symmetric, invariant and non-degenerate inner product. The induced Gerstenhaber algebra is the one described in Gerstenhabers original paper on Hochschild