braided categories
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Author(s):  
István Heckenberger ◽  
Kevin Wolf

We define two-cocycles and cleft extensions in categories that are not necessarily braided, but where specific objects braid from one direction, like for a Hopf algebra [Formula: see text] a Yetter–Drinfeld module braids from the left with [Formula: see text]-modules. We will generalize classical results to this context and give some application for the categories of Yetter–Drinfeld modules and [Formula: see text]-modules. In particular, we will describe liftings of coradically graded Hopf algebras in the category of Yetter–Drinfeld modules with these techniques.


Author(s):  
J.N. Alonso Alvárez ◽  
J.M. Fernández Vilaboa ◽  
M.P. López López ◽  
E. Villanueva Novoa ◽  
R. González Rodríguez

Axioms ◽  
2013 ◽  
Vol 2 (3) ◽  
pp. 437-442 ◽  
Author(s):  
Florin Nichita
Keyword(s):  

2013 ◽  
Vol 12 (04) ◽  
pp. 1250186
Author(s):  
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 exists a universal pseudosymmetric braided category.


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