| Affiliation: | Faculty of Applied Sciences, Free University of Brussels, VUB, Pleinlaan 2, B-1050 Brussels, Belgium ; Department of Mathematics, University of Antwerp, UIA, Universiteitsplein 1, B-2610 Wilrijk, Belgium ; Department of Mathematics, University of Antwerp, UIA, Universiteitsplein 1, B-2610 Wilrijk, Belgium |
| Abstract: | Let  be a Hopf algebra with bijective antipode. In a previous paper, we introduced  -Azumaya Yetter-Drinfel'd module algebras, and the Brauer group  classifying them. We continue our study of  , and we generalize some properties that were previously known for the Brauer-Long group. We also investigate separability properties for  -Azumaya algebras, and this leads to the notion of strongly separable  -Azumaya algebra, and to a new subgroup of the Brauer group  . |
