Quantum subgroups of a simple quantum group at roots of 1

Abstract

Let G be a connected, simply connected, simple complex algebraic group and let e be a primitive l-th root of 1, with l odd and 3 does not divide l if G is of type G_{2}. We determine all Hopf algebra quotients of the quantized coordinate algebra of G at e.

29 pages, accepted in Compositio Mathematica

References in corpus (1)

• Symmetries of quantum spaces. Subgroups and quotient spaces of quantum $SU(2)$ and $SO(3)$ groups

Cited by in corpus (3)

• A maximality result for orthogonal quantum groups
• Quantum subgroups of the compact quantum group SU_{-1}(3)
• Quantum subgroups of simple twisted quantum groups at roots of one