Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers

Elise Askelsen; Ryan Kinser

doi:10.48550/arxiv.2410.14880

Back

Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers

Preprint

Open access

Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers

Elise Askelsen and Ryan Kinser

ArXiv.org

Cornell University

10/18/2024

DOI: 10.48550/arxiv.2410.14880

Files and links (1)

url

https://doi.org/10.48550/arxiv.2410.14880View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

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.

Mathematics - Quantum Algebra

Mathematics - Representation Theory

Mathematics - Rings and Algebras

Details

Title: Subtitle: Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers
Creators: Elise Askelsen
Ryan Kinser
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.2410.14880
ISSN: 2331-8422
Publisher: Cornell University
Language: English
Date posted: 10/18/2024
Academic Unit: Mathematics
Record Identifier: 9984738441002771

Metrics

55 Record Views