Hopf algebras arising from partial (co)actions

2019/11/10 by Azevedo, Danielle, Martini, Grasiela, Paques, Antonio +1 · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1911.03939

Abstract

In this paper, extending the idea presented by M. Takeuchi in [13], we introduce the notion of partial matched pair (H,L) involving the concepts of partial action and partial coaction between two Hopf algebras H and L. Furthermore, we present necessary conditions for the corresponding bismash product L# H to generate a new Hopf algebra and, as illustration, a family of examples is provided.

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• Inverse semialgebras and partial actions of Lie algebras

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