FRT-Presentation for the Extended Hopf Algebra Uqext(so7)

Hongmei Hu; Naihong Hu; Limeng Xia

doi:10.1142/S1005386725000306

FRT-Presentation for the Extended Hopf Algebra U_q^ext(so₇)

Hongmei Hu
, Naihong Hu
, Limeng Xia^*

^*此作品的通讯作者

数学科学学院

Shanghai Maritime University
Jiangsu University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We provide a Faddeev-Reshetikhin-Takhtajan RTT approach to the extended Hopf algebra U_q^ext(so7) containing the Drinfeld-Jimbo algebra Uq(so7) of adjoint type as a Hopf subalgebra, which is a generalized Drinfeld-Jimbo algebra Uq(g, T) of simply connected type with a subgroup T of ZΦ ×_Z Q. To do that, the non-standard L-functionals and their properties for the 8-dimensional spin representation of U_q^ext(so7) are investigated for the first time.

源语言	英语
页（从-至）	411-428
页数	18
期刊	Algebra Colloquium
卷	32
期	3
DOI	https://doi.org/10.1142/S1005386725000306
出版状态	已出版 - 1 9月 2025

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10.1142/S1005386725000306

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abstract = "We provide a Faddeev-Reshetikhin-Takhtajan RTT approach to the extended Hopf algebra Uqext(so7) containing the Drinfeld-Jimbo algebra Uq(so7) of adjoint type as a Hopf subalgebra, which is a generalized Drinfeld-Jimbo algebra Uq(g, T) of simply connected type with a subgroup T of ZΦ ×Z Q. To do that, the non-standard L-functionals and their properties for the 8-dimensional spin representation of Uqext(so7) are investigated for the first time.",

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author = "Hongmei Hu and Naihong Hu and Limeng Xia",

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AU - Hu, Hongmei

AU - Hu, Naihong

AU - Xia, Limeng

PY - 2025/9/1

Y1 - 2025/9/1

N2 - We provide a Faddeev-Reshetikhin-Takhtajan RTT approach to the extended Hopf algebra Uqext(so7) containing the Drinfeld-Jimbo algebra Uq(so7) of adjoint type as a Hopf subalgebra, which is a generalized Drinfeld-Jimbo algebra Uq(g, T) of simply connected type with a subgroup T of ZΦ ×Z Q. To do that, the non-standard L-functionals and their properties for the 8-dimensional spin representation of Uqext(so7) are investigated for the first time.

AB - We provide a Faddeev-Reshetikhin-Takhtajan RTT approach to the extended Hopf algebra Uqext(so7) containing the Drinfeld-Jimbo algebra Uq(so7) of adjoint type as a Hopf subalgebra, which is a generalized Drinfeld-Jimbo algebra Uq(g, T) of simply connected type with a subgroup T of ZΦ ×Z Q. To do that, the non-standard L-functionals and their properties for the 8-dimensional spin representation of Uqext(so7) are investigated for the first time.

KW - FRT-realization

KW - R-matrix

KW - quantized enveloping algebra

UR - https://www.scopus.com/pages/publications/105014388533

U2 - 10.1142/S1005386725000306

DO - 10.1142/S1005386725000306

M3 - 文章

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SN - 1005-3867

VL - 32

SP - 411

EP - 428

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 3

ER -

FRT-Presentation for the Extended Hopf Algebra Uqext(so7)

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FRT-Presentation for the Extended Hopf Algebra U_q^ext(so₇)