JournalsprimsVol. 51 , No. 1pp. 131–171

From the Drinfeld Realization to the Drinfeld–Jimbo Presentation of Affine Quantum Algebras: Injectivity

  • Ilaria Damiani

    Università di Roma 'Tor Vergata', Italy
From the Drinfeld Realization to the Drinfeld–Jimbo Presentation of Affine Quantum Algebras: Injectivity cover
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Abstract

The surjective homomorphism ψ\psi (see [Da1]) from the Drinfeld realization UqDrU^{Dr}_q to the Drinfeld and Jimbo presentation UqDJ\mathcal U^{DJ}_q of affine quantum algebras is proved to be injective. A consequence of the arguments used in the paper is the triangular decomposition of the Drinfeld realization of ane quantum algebras also in the twisted case. A presentation of affine Kac–Moody algebras in terms of "Drinfeld generators" is also provided.

Cite this article

Ilaria Damiani, From the Drinfeld Realization to the Drinfeld–Jimbo Presentation of Affine Quantum Algebras: Injectivity. Publ. Res. Inst. Math. Sci. 51 (2015), no. 1 pp. 131–171

DOI 10.4171/PRIMS/150