RLL-realization and its Hopf superalgebra structure of U p , q ( g l ̂ ( m | n ) )

Naihong Hu; Naihuan Jing; Xin Zhong

doi:10.1063/5.0229568

RLL-realization and its Hopf superalgebra structure of U p , q ( g l ̂ ( m | n ) )

Naihong Hu
, Naihuan Jing
, Xin Zhong^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

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

Original language	English
Article number	123501
Journal	Journal of Mathematical Physics
Volume	65
Issue number	12
DOIs	https://doi.org/10.1063/5.0229568
State	Published - 1 Dec 2024

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title = "RLL-realization and its Hopf superalgebra structure of U p , q ( g l{\^ } ( m | n ) )",

abstract = "In this paper we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra U p , q ( g l{\^ } ( 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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AU - Hu, Naihong

AU - Jing, Naihuan

AU - Zhong, Xin

PY - 2024/12/1

Y1 - 2024/12/1

N2 - In this paper we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra U p , q ( g l ̂ ( m | n ) ) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

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

UR - https://www.scopus.com/pages/publications/85211228454

U2 - 10.1063/5.0229568

DO - 10.1063/5.0229568

M3 - 文章

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SN - 0022-2488

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

M1 - 123501

ER -

RLL-realization and its Hopf superalgebra structure of U p , q ( g l ̂ ( m | n ) )

Abstract

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