Geodesic
Fusion in the~entwined category of Yetter--Drinfeld modules of a~rank-1 Nichols algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 1, pp. 3-37

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In the braided context, we rederive a popular nonsemisimple fusion algebra 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 entwined category (i.e., a category with monodromy but not with braiding).
Keywords: logarithmic conformal field theory, Nichols algebra, Yetter–Drinfeld module.
Mots-clés : fusion 
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     author = {A. M. Semikhatov},
     title = {Fusion in the~entwined category of {Yetter--Drinfeld} modules of a~rank-1 {Nichols} algebra},
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A. M. Semikhatov. Fusion in the~entwined category of Yetter--Drinfeld modules of a~rank-1 Nichols algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 173 (2012) no. 1, pp. 3-37. http://geodesic.mathdoc.fr/item/TMF_2012_173_1_a0/