# Panov's theorem for weak Hopf algebras

#### Preprint

<p>Panov proved necessary and sufficient conditions to extend the Hopf algebra structure of an algebra <em>R</em> to an Ore extension <em>R</em>[<em>x</em>;<em>σ</em>,<em>δ</em>] with <em>x</em> being a skew-primitive element. In this paper we extend Panov\textquoterights result to Ore extensions over weak Hopf algebras. As an application we study Ore extensions of connected groupoid algebras.</p>

Christian Lomp

Alveri Sant\textquoterightAna

Ricardo Santos

### Publication

Year of publication: 2017