Yetter-Drinfeld modules over weak multiplier bialgebras
Abstract
We continue the study of the representation theory of a regular weak multiplier bialgebra with full comultiplication, started in arXiv:1306.1466, arXiv:1311.2730. 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.
Cite
@article{arxiv.1311.3027,
title = {Yetter-Drinfeld modules over weak multiplier bialgebras},
author = {Gabriella Böhm},
journal= {arXiv preprint arXiv:1311.3027},
year = {2013}
}
Comments
LaTeX source, 26 pages