Yetter-Drinfeld modules over weak multiplier bialgebras

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We continue the study of the representation theory of a regular weak multiplier bialgebra with full comultiplication, started in [4, 2]. Yetter-Drinfeld modules are defined as modules and comodules, with compatibility conditions that are equivalent to a canonical object being (weakly) central in the category of modules, and equivalent also to another canonical object being (weakly) central in the category of comodules. Yetter-Drinfeld modules are shown to constitute a monoidal category via the (co)module tensor product over the base (co)algebra. Finite-dimensional Yetter-Drinfeld modules over a regular weak multiplier Hopf algebra with full comultiplication are shown to possess duals in this monoidal category.

Original languageEnglish
Pages (from-to)85-123
Number of pages39
JournalIsrael Journal of Mathematics
Volume209
Issue number1
DOIs
Publication statusPublished - Sep 1 2015

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Yetter-Drinfeld Module
Bialgebra
Multiplier
Comodule
Monoidal Category
Module
Multiplier Algebra
Compatibility Conditions
Coalgebra
Representation Theory
Hopf Algebra
Tensor Product
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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Yetter-Drinfeld modules over weak multiplier bialgebras. / Böhm, G.

In: Israel Journal of Mathematics, Vol. 209, No. 1, 01.09.2015, p. 85-123.

Research output: Contribution to journalArticle

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