$G$-Algebra Structure on the Higher Order Hochschild Cohomology $H^*_{S^2}(A,A)$

Mihai D. Staic; Samuel Carolus

$G$-Algebra Structure on the Higher Order Hochschild Cohomology $H^*_{S^2}(A,A)$

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arxiv 1804.05096 v1 pith:DZNDCVQR submitted 2018-04-13 math.RA

Samuel Carolus , Mihai D. Staic This is my paper · ORCID

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keywords algebraassociatedcohomologydeformationhigherhochschildstructuretheory

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abstract

We present a deformation theory associated to the higher Hochschild cohomology $H_{S^2}^*(A,A)$. We also study a $G$-algebra structure associated to this deformation theory.

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Deformation Theories Controlled by Hochschild Cohomologies
math.RA 2019-08 conditional novelty 4.0 of 10

Higher-order Hochschild cohomology over any d-sphere and tertiary Hochschild cohomology control the associativity of deformed algebra products.

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