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Mathematics > Quantum Algebra

Title: Partial representations of connected and smash product Hopf algebras

Abstract: We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and a description of the partial "Hopf" algebra if the first tensorand is connected is given. If $H$ is cocommutative and has finitely many grouplikes, this allows to see $H_{par}$ as the weak Hopf algebra coming from a Hopf category.
Subjects: Quantum Algebra (math.QA); Rings and Algebras (math.RA); Representation Theory (math.RT)
MSC classes: 16T05, 16S40
Cite as: arXiv:2404.17303 [math.QA]
  (or arXiv:2404.17303v1 [math.QA] for this version)

Submission history

From: William Hautekiet [view email]
[v1] Fri, 26 Apr 2024 10:24:28 GMT (26kb)

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