Journal article
Actions of Hopf-Ore extensions of group algebras on path algebras of quivers
Journal of pure and applied algebra, Vol.230(9), 108311
09/2026
DOI: 10.1016/j.jpaa.2026.108311
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.
Details
- Title: Subtitle
- Actions of Hopf-Ore extensions of group algebras on path algebras of quivers
- Creators
- Elise Askelsen - Pepperdine UniversityRyan Kinser - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of pure and applied algebra, Vol.230(9), 108311
- DOI
- 10.1016/j.jpaa.2026.108311
- ISSN
- 0022-4049
- eISSN
- 1873-1376
- Publisher
- Elsevier B.V
- Grant note
- DMS-2303334 / National Science Foundation (https://doi.org/10.13039/100000001) Erwin and Peggy Kleinfeld Graduate Fellowship fund 636534 / Simons Foundation (https://doi.org/10.13039/100000893)
- Language
- English
- Date published
- 09/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985175465002771
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