Quantum subgroups of simple twisted quantum groups at roots of one

Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra O<sup>φ</sup><sub>∈</...

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Autores principales: García, Gastón Andrés, Gutierrez, Javier Alberto
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126598
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Sumario:Let G be a connected, simply connected simple complex algebraic group and let ∈ be a primitive ℓth root of unity with ℓ odd and coprime with 3 if G is of type G₂. We determine all Hopf algebra quotients of the twisted multiparameter quantum function algebra O<sup>φ</sup><sub>∈</sub> (G) introduced by Costantini and Varagnolo. This extends the results of Andruskiewitsch and the first author, where the untwisted case is treated.