<i>RLL</i>-realization and its Hopf superalgebra structure of Up,q(gl(m|n))

In this paper we extend the Reshetikhin–Semenov–Tian–Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra Up,q(gl̂(m|n)) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2024-12-01
DOI
https://doi.org/10.1063/5.0229568
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

RLL-realization and its Hopf superalgebra structure of Up,q(gl(m|n))

Naihuan Jing, Xin Zhong, Naihong Hu
Journal of Mathematical Physics
Algebraic structures and combinatorial models
article

RLL-realization and its Hopf superalgebra structure of Up,q(gl(m|n))

Naihuan Jing, Xin Zhong, Naihong Hu
article en

Abstract

In this paper we extend the Reshetikhin–Semenov–Tian–Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra Up,q(gl̂(m|n)) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

Journal of Mathematical PhysicsVol. 65(12)
North Carolina State University (US), East China Normal University (CN)
Simons Foundation, National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality
Openalex Percentile: Top 66%
Algebraic structures and combinatorial models
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