Quantum subgroups of a simple quantum group at roots of one-Reference-Cited by-同舟云学术

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Quantum subgroups of a simple quantum group at roots of one

Published:2009-03 Issue:2 Volume:145 Page:476-500
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Andruskiewitsch Nicolás,Andrés García Gastón

Abstract

AbstractLetGbe a connected, simply connected, simple complex algebraic group and let ϵ be a primitiveℓth root of one,ℓodd and 3∤ℓifGis of typeG2. We determine all Hopf algebra quotients of the quantized coordinate algebra 𝒪ϵ(G).

Publisher

Wiley

Subject

Algebra and Number Theory

Reference33 articles.

1. Symmetries of quantum spaces. Subgroups and quotient spaces of quantumSU(2) andSO(3) groups

2. On a q-Analogue of the McKay Correspondence and the ADE Classification of sl̂2 Conformal Field Theories

3. Some Topics on Frobenius–Lusztig Kernels, I

4. Hopf Algebras and Their Actions on Rings

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