1109.5919 (A. M. Semikhatov)

Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1
Nichols algebra    [PDF]

A. M. Semikhatov

We rederive a popular nonsemisimple fusion algebra in the braided context, from a Nichols algebra. Together with the decomposition that we find for the product of simple Yetter-Drinfeld modules, this strongly suggests that the relevant Nichols algebra furnishes an equivalence with the triplet W-algebra in the (p,1) logarithmic models of conformal field theory. For this, the category of Yetter-Drinfeld modules is to be regarded as an \textit{entwined} category (the one with monodromy, but not with braiding).

View original: http://arxiv.org/abs/1109.5919