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

Xin Zhong; Naihong Hu; Naihuan Jing

doi:10.1142/S0219498826501173

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

Xin Zhong
, Naihong Hu
, Naihuan Jing^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra U_r,s(C_n⁽¹⁾) and the R-matrix realization á la Faddeev, Reshetikhin and Takhtajan.

Original language	English
Article number	2650117
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498826501173
State	Accepted/In press - 2025

Keywords

Drinfeld realization
Gauss decomposition
R-matrix
RLL-formulation
quantum affine algebra

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10.1142/S0219498826501173

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title = "RLL-realization of two-parameter quantum affine algebra in type Cn(1)",

abstract = "In this paper, we establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra Ur,s(Cn(1)) and the R-matrix realization {\'a} la Faddeev, Reshetikhin and Takhtajan.",

keywords = "Drinfeld realization, Gauss decomposition, R-matrix, RLL-formulation, quantum affine algebra",

author = "Xin Zhong and Naihong Hu and Naihuan Jing",

note = "Publisher Copyright: {\textcopyright} 2026 World Scientific Publishing Company.",

year = "2025",

doi = "10.1142/S0219498826501173",

language = "英语",

journal = "Journal of Algebra and its Applications",

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TY - JOUR

T1 - RLL-realization of two-parameter quantum affine algebra in type Cn(1)

AU - Zhong, Xin

AU - Hu, Naihong

AU - Jing, Naihuan

PY - 2025

Y1 - 2025

N2 - In this paper, we establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra Ur,s(Cn(1)) and the R-matrix realization á la Faddeev, Reshetikhin and Takhtajan.

AB - In this paper, we establish an explicit correspondence between the Drinfeld current algebra presentation for the two-parameter quantum affine algebra Ur,s(Cn(1)) and the R-matrix realization á la Faddeev, Reshetikhin and Takhtajan.

KW - Drinfeld realization

KW - Gauss decomposition

KW - R-matrix

KW - RLL-formulation

KW - quantum affine algebra

UR - https://www.scopus.com/pages/publications/105000653673

U2 - 10.1142/S0219498826501173

DO - 10.1142/S0219498826501173

M3 - 文章

AN - SCOPUS:105000653673

SN - 0219-4988

JO - Journal of Algebra and its Applications

JF - Journal of Algebra and its Applications

M1 - 2650117

ER -

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

Abstract

Keywords

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