The preprojective algebra of a finite EI quiver

2024/10/20 by Dongdong Hu, Hu, Dongdong
Mathematics · Computer Science · #Algebraic structures and combinatorial models #Logic, programming, and type systems #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2410.15390

Abstract

We define the preprojective algebra of a finite EI quiver. We prove that it is isomorphic to a centain tensor algebra. For a finite EI quiver of Cartan type, we prove that the corresponding preprojective algebra is isomorphic to the generalized preprojective algebra.

Related

• Total preprojective algebras
• The finite EI categories of Cartan type
• Preprojective algebras and Calabi-Yau duality
• Equivalent definitions of the preprojective algebra
• Sequences of reflection functors and the preprojective component of a valued quiver