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

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.

22 pages

References in corpus (3)

• Logarithmic extensions of minimal models: characters and modular transformations
• Logarithmic ^sl(2) CFT models from Nichols algebras. 1
• Representations of ${\bar{U}}_{q}s\ell (2|1)$ at even roots of unity

Cited by in corpus (4)

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