Tate-Hochschild Cohomology of Radical Square Zero Algebras

2015/11/26 by Zhengfang Wang, Wang, Zhengfang
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1511.08348

openalex publication_date 2015/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Gerstenhaber algebra and Deligne's conjecture on Tate-Hochschild cohomology
• The Lie module structure on the Hochschild cohomology groups of monomial algebras with radical square zero
• Invariance of the Gerstenhaber algebra structure on Tate-Hochschild cohomology
• On the semisimplicity of the outer derivations of monomial algebras
• Algebraic structure on Tate-Hochschild cohomology of a Frobenius algebra