Hochschild cohomology rings for self-injective algebras of tree classes $E_7$ and $E_8$

TL;DR

This paper describes the structure of Hochschild cohomology rings for specific self-injective algebras of tree classes E7 and E8, providing explicit generators and relations for these algebraic objects.

Contribution

It provides a detailed description of the Hochschild cohomology rings for self-injective algebras of tree classes E7 and E8, including generators and relations.

Findings

Explicit generators and relations for the cohomology rings

Descriptions for algebras of tree classes E7 and E8

Advances understanding of algebraic structures in representation theory

Abstract

The Hochschild cohomology rings for self-injective algebras of tree classes $E_7$ and $E_8$ with finite representation type was described in terms of generators and relations.