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arxiv: 1710.10540 · v1 · pith:TOVS2PF2new · submitted 2017-10-29 · 🧮 math.RA

Panov's theorem for weak Hopf algebras

classification 🧮 math.RA
keywords algebrashopfpanovalgebraextendextensionsweakapplication
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Panov proved necessary and sufficient conditions to extend the Hopf algebra structure of an algebra $R$ to an Ore extension $R[x;\sigma,\delta]$ with $x$ being a skew-primitive element. In this paper we extend Panov's result to Ore extensions over weak Hopf algebras. As an application we study Ore extensions of connected groupoid algebras.

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