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arXiv · 2202.03403

R-Matrix presentation of quantum affine algebra in type $A_{2n-1}^{(2)}$

Naihuan Jing·Xia Zhang·Ming Liu
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Abstract

In this paper, we give an RTT presentation of the twisted quantum affine algebra of type $A_{2n-1}^{(2)}$ and show that it is isomorphic to the Drinfeld new realization via the Gauss decomposition of the L-operators. This provides the first such presentation for twisted quantum affine algebras with nontrivial central element.

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Naihuan Jing, Xia Zhang, Ming Liu. 2022-02-07. R-Matrix presentation of quantum affine algebra in type $A_{2n-1}^{(2)}$. https://doi.org/10.1007/s11464-021-0434-7

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