Cohomology of some local selfinjective algebras

2019/04/09 by Erdmann, Karin
#16G10 #16T05 #20G20 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1904.04533

Abstract

We show that the cohomology for some 2-generated selfinjective algebras is finitely generated. This applies in particular to the algebras A5(β) for β≠ 0 in the classification of connected Hopf algebras of dimension p³ over characteristic p by Nguyen-Wang-Wang.

Related

• Cohomology of finite graded group varieties
• Finite generation of some cohomology rings via twisted tensor product\n and Anick resolutions
• A family of Koszul self-injective algebras with finite Hochschild cohomology
• The cohomology ring of some Hopf algebras
• Self-injective algebras and the second Hochschild cohomology group