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Quantum subgroups of a simple quantum group at roots of one

Part of:Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  01 March 2009

Nicolás Andruskiewitsch and
Gastón Andrés García
Nicolás Andruskiewitsch
Affiliation:
FaMAF-CIEM, Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, República Argentina (email: andrus@mate.uncor.edu)
Gastón Andrés García
Affiliation:
FaMAF-CIEM, Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, República Argentina (email: ggarcia@mate.uncor.edu)
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Abstract

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Let G be a connected, simply connected, simple complex algebraic group and let ϵ be a primitive ℓth root of one, ℓ odd and 3∤ℓ if G is of type G2. We determine all Hopf algebra quotients of the quantized coordinate algebra 𝒪ϵ(G).

Keywords

quantum groupsquantized enveloping algebrasquantized coordinate algebras

MSC classification

Secondary:17B37: Quantum groups (quantized enveloping algebras) and related deformations

Information

Type
Research Article
Information
Compositio Mathematica , Volume 145 , Issue 2 , March 2009, pp. 476 - 500
Copyright
Copyright © Foundation Compositio Mathematica 2009

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