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arXiv · 1601.00897

Quantum subgroups of simple twisted quantum groups at roots of one

Gaston Andres Garcia·Javier Alberto Gutierrez
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Abstract

Let $G$ be a connected, simply connected simple complex algebraic group and let $\epsilon$ be a primitive $\ell$th root of unity with $\ell$ odd and coprime with $3$ if $G$ is of type $G_{2}$. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra $\mathcal{O}_{\epsilon}^{\varphi}(G)$ introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.

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Gaston Andres Garcia, Javier Alberto Gutierrez. 2016-01-05. Quantum subgroups of simple twisted quantum groups at roots of one. https://doi.org/10.1090/tran%2F7078

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