Conference abstracts

Session S03 - Hopf Algebras

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## Quantum Subgroups of Simple Twisted Quantum Groups at Roots of One

### Universidad Nacional de Córdoba, Argentina   -   puiguti@gmail.com

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.

Joint work with Gastón Andrés García (Universidad Nacional de La Plata).