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arXiv · 1407.0341

From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: the injectivity

Ilaria Damiani
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Abstract

In this paper the surjective homomorphism from the Drinfeld realization to the Drinfeld and Jimbo presentation 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 affine quantum algebras also in the twisted case. A presentation of the affine Kac-Moody algebras in terms of the "Drinfeld generators" is also provided.

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Ilaria Damiani. 2014-07-01. From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: the injectivity. https://arxiv.org/abs/1407.0341

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