4 citations · 14 across the 25 of their papers we have counts for
6 papers · 1 filter
Hom-Tensor Categories and the Hom-Yang-Baxter Equation
Florin Panaite, Paul Schrader, Mihai D. Staic
We introduce a new type of categorical object called a \emph{hom-tensor category} and show that it provides the appropriate setting for modules over an arbitrary hom-bialgebra. Nex…
More examples of pseudosymmetric braided categories
Florin Panaite, Mihai D. Staic
We study some examples of braided categories and quasitriangular Hopf algebras and decide which of them is pseudosymmetric, respectively pseudotriangular. We show also that there e…
A quotient of the braid group related to pseudosymmetric braided categories
Florin Panaite, Mihai D. Staic
Motivated by the recently introduced concept of a pseudosymmetric braided monoidal category, we define the pseudosymmetric group PS_n, as the quotient of the braid group B_n by the…
Pseudosymmetric braidings, twines and twisted algebras
Florin Panaite, Mihai D. Staic, Freddy Van Oystaeyen
A laycle is the categorical analogue of a lazy cocycle. Twines (as introduced by Bruguieres) and strong twines (as introduced by the authors) are laycles satisfying some extra cond…
On some classes of lazy cocycles and categorical structures
Florin Panaite, Mihai D. Staic, Freddy Van Oystaeyen
We study some classes of lazy cocycles, called pure (respectively neat), together with their categorical counterparts, entwined (respectively strongly entwined) monoidal categories…
Generalized (anti) Yetter-Drinfeld modules as components of a braided T-category
Florin Panaite, Mihai D. Staic
If H is a Hopf algebra with bijective antipode and α, β\in Aut_{Hopf}(H), we introduce a category_H{\cal YD}^H(α, β), generalizing both Yetter-Drinfeld and anti-Yetter-Drinfeld mod…