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arXiv · 1304.5752

The R-matrix of quantum doubles of Nichols algebras of diagonal type

Ivan Angiono·Hiroyuki Yamane
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Abstract

Let $H$ be the quantum double of a Nichols algebra of diagonal type. We compute the $R$-matrix of 3-uples of modules for general finite-dimensional highest weight modules over $H$. We calculate also a multiplicative formula for the universal $R$-matrix when $H$ is finite dimensional.

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Ivan Angiono, Hiroyuki Yamane. 2013-04-21. The R-matrix of quantum doubles of Nichols algebras of diagonal type. https://arxiv.org/abs/1304.5752

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