Quantum subgroups of simple twisted quantum groups at roots of one

Abstract

Let G G be a connected, simply connected simple complex algebraic group and let ϵ \epsilon be a primitive ℓ \ell th root of unity with ℓ \ell odd and coprime with 3 3 if G G is of type G 2 G_{2} . We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra O ϵ φ ( G ) \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.