4 citations · 7 across the 8 of their papers we have counts for
5 papers · 1 filter
A bicategorical approach to actions of monoidal categories
Bojana Femić
We characterize in terms of bicategories actions of monoidal categories to representation categories of algebras. For that purpose we introduce cocycles in any 2-category $\K$ and…
Paired wreaths: towards a 2-categorical atlas of cross products
Bojana Femić
After we introduced biwreaths and biwreath-like objects in our previous paper, in the present one we define paired wreaths. In a paired wreath there is a monad and a comonad $F…
Biwreaths: a self-contained system in a 2-category that encodes different known algebraic constructions and gives rise to new ones
Bojana Femić
We introduce bimonads in a 2-category $\K$ and define biwreaths as bimonads in the 2-category $\bEM(\K)$ of bimonads, in the analogous fashion as Lack and Street defined wreaths. A…
Eilenberg-Watts Theorem for 2-categories and quasi-monoidal structures for module categories over bialgebroid categories
Bojana Femić
We prove Eilenberg-Watts Theorem for 2-categories of the representation categories $\C\x\Mod$ of finite tensor categories $\C$. For a consequence we obtain that any autoequivalence…
The Hopf automorphism group and the quantum Brauer group in braided monoidal categories
Bojana Femić
With the motivation of giving a more precise estimation of the quantum Brauer group of a Hopf algebra over a field we construct an exact sequence containing the quantum Bra…