JournalsprimsVol. 48, No. 3pp. 661–733

Drinfeld Realization of Affine Quantum Algebras: the Relations

  • Ilaria Damiani

    Università di Roma 'Tor Vergata', Italy
Drinfeld Realization of Affine Quantum Algebras: the Relations cover
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Abstract

The structure of the Drinfeld realization UqDr\mathcal U_q^{Dr} of ane quantum algebras (both untwisted and twisted) is described in detail, and its de ning relations are studied and simpli ed. As an application, a homomorphism ψ\psi from this realization to the Drinfeld and Jimbo presentation UqDJ\mathcal U_q^{DJ} is provided, and proved to be surjective.

Cite this article

Ilaria Damiani, Drinfeld Realization of Affine Quantum Algebras: the Relations. Publ. Res. Inst. Math. Sci. 48 (2012), no. 3, pp. 661–733

DOI 10.2977/PRIMS/86