Quantum subgroups of simple twisted quantum groups at roots of one

García, Gastón; Gutiérrez, Javier

doi:10.1090/tran/7078

Quantum subgroups of simple twisted quantum groups at roots of one
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by Gastón Andrés García and Javier A. Gutiérrez PDF

Trans. Amer. Math. Soc. 370 (2018), 3609-3637 Request permission

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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