Anick type automorphisms and new irreducible representations of Leavitt path algebras

TL;DR

This paper introduces a new class of automorphisms for Leavitt path algebras, leading to Anick type automorphisms and novel irreducible representations, expanding understanding of their algebraic structure.

Contribution

It presents a new class of automorphisms for Leavitt path algebras and constructs new irreducible representations, advancing the algebraic theory of these structures.

Findings

New automorphisms of Leavitt path algebras for arbitrary graphs

Construction of Anick type automorphisms

Development of new irreducible representations of Leavitt algebras

Abstract

In this article, we give a new class of automorphisms of Leavitt path algebras of arbitrary graphs. Consequently, we obtain Anick type automorphisms of these Leavitt path algebras and new irreducible representations of Leavitt algebras of type $(1, n)$.