Yetter-Drinfeld modules over weak multiplier bialgebras

Böhm, Gabriella Eszter (2015) Yetter-Drinfeld modules over weak multiplier bialgebras. ISRAEL JOURNAL OF MATHEMATICS, 209 (1). pp. 85-123. ISSN 0021-2172

Preview

Text 1311.3027.pdf Available under License Creative Commons Attribution. Download (348kB) | Preview

Abstract

We continue the study of the representation theory of a regular weak mul- tiplier 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.

Actions (login required)

Edit Item