R-matrix realization of two-parameter quantum affine algebra $U_{r,s}(\widehat{gl}_n)$
Naihuan Jing, Ming Liu
TL;DR
This paper introduces a new two-parameter quantum affine algebra using RTT realization, establishes its Drinfeld realization, and shows its relation to type A quantum affine algebra as a subalgebra.
Contribution
It presents the first RTT and Drinfeld realizations of the two-parameter quantum affine algebra $U_{r,s}(\widehat{gl}_n)$ and connects it to type A quantum affine algebra.
Findings
Established RTT realization of $U_{r,s}(\widehat{gl}_n)$
Derived Drinfeld realization for the algebra
Proved type A quantum affine algebra as a subalgebra
Abstract
We introduce the two-parameter quantum affine algebra via the RTT realization. The Drinfeld realization is given and the type A quantum affine algebra is proved to be a special subalgebra of our extended algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Optical Network Technologies · Advanced Topics in Algebra