Tate-Hochschild Cohomology of Radical Square Zero Algebras

Abstract

For algebras with radical square zero, we give a combinatorial description to the Tate-Hochschild cohomology. We compute the Gerstenhaber algebra structure on the Tate-Hochschild cohomology for some classes of such algebras.

22 pages. To appear in Algebra and Representation Theory

References in corpus (2)

• The Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra
• Singular Hochschild Cohomology and Gerstenhaber Algebra Structure

Cited by in corpus (1)

• An explicit projective bimodule resolution of a Leavitt path algebra