Actions of Hopf-Ore extensions of group algebras on path algebras of quivers

Journal of Pure and Applied Algebra 2026 Open access

Read full text
Authors: Elise Askelsen, Ryan Kinser
DOI: 10.1016/j.jpaa.2026.108311
Cited by: 0

Abstract

We classify the (filtered) Hopf actions of Hopf-Ore extensions of group algebras on path algebras of quivers, extending results in several other works from special cases to this general setting. Having done this for general Hopf-Ore extensions of group algebras, we demonstrate application by specializing our main result to certain Hopf-Ore extensions including some Noetherian prime Hopf algebras of GK-dimension one and two.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Algebra and Logic Topological and Geometric Data Analysis

Publication details

Journal / source
Journal of Pure and Applied Algebra
Volume
230
Issue
9
Pages
108311–108311
Publication date
8 June 2026
Language
EN