Xiao Xu

collaborators

3 papers

math.QA2024

The Ding-Frenkel Isomorphism Theorem for two-parameter quantum affine algebra $U_{r, s} (so_{2 n + 1})$

Naihong Hu, Xiao Xu, Rushu Zhuang

From the theory of finite-dimensional weight modules, we get the basic braided $R$ -matrix $R$ of $U_{r, s} (so_{2 n + 1})$ . For its FRT presentation $U (R)$ …

math.QA2024

$R LL$ -realization of two-parameter quantum affine algebra in type $D_{n}^{(1)}$

Rushu Zhuang, Naihong Hu, Xiao Xu

We obtain the basic $R$ -matrix of the two-parameter Quantum group $U = U_{r, s} (so_{2 n})$ via its weight representation theory and determine its $R$ -matrix with spe…

math.QA2024

Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework

Naihong Hu, Xiao Xu

The classification of one-parameter small quantum groups remains a fascinating open problem. This paper uncovers a novel phenomenon: beyond the Lusztig small quantum groups-equippe…

The Ding-Frenkel Isomorphism Theorem for two-parameter quantum affine algebra Ur,s​(so2n+1​​)

RLL-realization of two-parameter quantum affine algebra in type Dn(1)​

Novel isoclasses of one-parameter exotic small quantum groups originating from a two-parameter framework

The Ding-Frenkel Isomorphism Theorem for two-parameter quantum affine algebra $U_{r, s} (so_{2 n + 1})$

$R LL$ -realization of two-parameter quantum affine algebra in type $D_{n}^{(1)}$