The structure of the Drinfeld realization u(q)(Dr) of affine quantum algebras (both untwisted and twisted) is described in detail, and its defining relations are studied and simplified. As an application, a homomorphism psi from this realization to the Drinfeld and Jimbo presentation u(q)(DJ) is provided, and proved to be surjective.

Damiani, I. (2012). Drinfeld Realization of Affine Quantum Algebras: the Relations. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 48(3), 661-733 [10.2977/PRIMS/86].

Drinfeld Realization of Affine Quantum Algebras: the Relations

DAMIANI, ILARIA
2012-01-01

Abstract

The structure of the Drinfeld realization u(q)(Dr) of affine quantum algebras (both untwisted and twisted) is described in detail, and its defining relations are studied and simplified. As an application, a homomorphism psi from this realization to the Drinfeld and Jimbo presentation u(q)(DJ) is provided, and proved to be surjective.
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/02 - ALGEBRA
English
quantum groups
Damiani, I. (2012). Drinfeld Realization of Affine Quantum Algebras: the Relations. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 48(3), 661-733 [10.2977/PRIMS/86].
Damiani, I
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/90150
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