Quantum subgroups of a simple quantum group at roots of 1

Mathematics – Quantum Algebra

Scientific paper

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29 pages, accepted in Compositio Mathematica

Scientific paper

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.

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