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arXiv · 2311.15910

Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations

Tran Giang Nam·Ashish K. Srivastava·Nguyen Thi Vien
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Abstract

In this article, we construct (graded) automorphisms fixing all vertices of Leavitt path algebras of arbitrary graphs in terms of general linear groups over corners of these algebras. As an application, we study Zhang twist of Leavitt path algebras and describe new classes of irreducible representations of Leavitt path algebras of the rose graphs $R_n$ with $n$ petals.

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Tran Giang Nam, Ashish K. Srivastava, Nguyen Thi Vien. 2023-11-27. Automorphisms of Leavitt path algebras: Zhang twist and irreducible representations. https://arxiv.org/abs/2311.15910

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