$G$-Algebra Structure on the Higher Order Hochschild Cohomology $H_{S^2}^{\ast }(A,A)$

Samuel Carolus, Mihai D. Staic

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