Drinfeld Realization of Affine Quantum Algebras: The Relations
Ilaria Damiani
TL;DR
This paper details the structure and relations of the Drinfeld realization of affine quantum algebras, providing a simplified presentation and a surjective homomorphism to the Drinfeld-Jimbo form.
Contribution
It offers a comprehensive description of the Drinfeld realization for affine quantum algebras and establishes a surjective homomorphism to the standard presentation.
Findings
Detailed structure of Drinfeld realization $ ext{U}_q^{dr}$
Simplified defining relations for affine quantum algebras
Surjective homomorphism to Drinfeld-Jimbo presentation
Abstract
In this paper the structure of the Drinfeld realization of affine quantum algebras (both untwisted and twisted) is described in details, and its defining relations are studied and simplified. As an application, a homomorphism from this realization to the Drinfeld and Jimbo presentation is provided, and proved to be surjective.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons