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^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

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.

Original language	English
Pages (from-to)	411-428
Number of pages	18
Journal	Algebra Colloquium
Volume	32
Issue number	3
DOIs	https://doi.org/10.1142/S1005386725000306
State	Published - 1 Sep 2025

Keywords

FRT-realization
R-matrix
quantized enveloping algebra

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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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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

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SN - 1005-3867

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EP - 428

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 3

ER -

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

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Keywords

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