Hochschild cohomology ring for self-injective algebras of tree class $E_6$. II

TL;DR

This paper provides a detailed description of the Hochschild cohomology ring for a specific family of self-injective algebras of tree class E6, using generators and relations, completing the classification with prior work.

Contribution

It offers a complete presentation of the Hochschild cohomology ring for self-injective algebras of tree class E6, building on previous results.

Findings

Explicit generators and relations for the cohomology ring

Complete classification of the Hochschild cohomology for these algebras

Integration with prior results for a full description

Abstract

We describe the Hochschild cohomology ring for a family of self-injective algebras of tree class $E_6$ in terms of generators and relations. Together with the results of the previous paper, this gives a complete description of the Hochschild cohomology ring for a self-injective algebras of tree class $E_6$.