Deformed preprojective algebras of Dynkin type $\mathbb{E}_6$

TL;DR

This paper proves that all deformed preprojective algebras of Dynkin type E6 are structurally identical to the standard preprojective algebra of the same type, establishing their isomorphism.

Contribution

It demonstrates the equivalence between deformed and standard preprojective algebras of type E6, clarifying their structural relationship.

Findings

All deformed preprojective algebras of type E6 are isomorphic to the standard algebra.

The result simplifies understanding of the algebraic structure of E6 type algebras.

Provides a classification result for deformed preprojective algebras of Dynkin type E6.

Abstract

We prove that every deformed preprojective algebra of Dynkin type $\mathbb{E}_6$ is isomorphic to the preprojective algebra of Dynkin type $\mathbb{E}_6$.