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arXiv · 1109.5919

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

A. M. Semikhatov
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Abstract

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).

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BibTeXRIS

A. M. Semikhatov. 2011-09-27. Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra. https://doi.org/10.1007/s11232-012-0118-2

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