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arXiv · 1710.10540

Panov's theorem for weak Hopf algebras

Christian Lomp·Alveri Sant'Ana·Ricardo Leite dos Santos
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Abstract

Panov proved necessary and sufficient conditions to extend the Hopf algebra structure of an algebra $R$ to an Ore extension $R[x;σ,δ]$ 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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Christian Lomp, Alveri Sant'Ana, Ricardo Leite dos Santos. 2017-10-29. Panov's theorem for weak Hopf algebras. https://arxiv.org/abs/1710.10540

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