Panov's theorem for weak Hopf algebras

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 ex...

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Bibliographic Details
Main Author: Christian Lomp (author)
Other Authors: Sant'Ana, A (author), dos Santos, RL (author)
Format: book
Language:eng
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10216/129192
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/129192
Description
Summary: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.