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arXiv · 2410.14880

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

Elise Askelsen·Ryan Kinser
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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.

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Elise Askelsen, Ryan Kinser. 2024-10-29. Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers. https://arxiv.org/abs/2410.14880

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