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Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers
Published 18 Oct 2024 in math.QA, math.RA, and math.RT | (2410.14880v2)
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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