Partial Smash Coproduct of Multiplier Hopf Algebras

2020/12/28 by Fonseca, Graziela, Fontes, Eneilson, Martini, Grasiela
#2020: primary 16T99 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #secondary 20L05

paper · doi:10.48550/arxiv.2012.14472

Abstract

In this work we define partial (co)actions on multiplier Hopf algebras, we also present examples and properties. From a partial comodule coalgebra we construct a partial smash coproduct generalizing the constructions made by the L. Delvaux, E. Batista and J. Vercruysse.

Related

• Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories
• Hopf algebras arising from partial (co)actions
• Partial Actions of a Hopf algebra on its base field and the corresponding partial smash product algebra
• Partial bi(co)module algebras, globalizations, and partial (L,R)-smash products
• A Duality Theorem for Weak Multiplier Hopf Algebra Actions