R-matrix for the 8-Dimensional Spin Representation of Uq(so7)

Hong Mei Hu; Nai Hong Hu

doi:10.1007/s10114-023-1082-5

R-matrix for the 8-Dimensional Spin Representation of U_q(so₇)

Hong Mei Hu
, Nai Hong Hu^*

^*此作品的通讯作者

数学科学学院

Suzhou University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The purpose of the paper is to describe the solution to the quantum Yang–Baxter equation associated with the 8-dimensional spin representation T_sp of (Formula presented.). The self-duality of T_sp and the symmetry of the corresponding braiding matrix are proved. Also, the minimal polynomial of the braiding R-matrix of T_sp is presented explicitly in an ingenious method by taking advantage of nice features of the spin representation T_sp.

源语言	英语
页（从-至）	485-497
页数	13
期刊	Acta Mathematica Sinica, English Series
卷	40
期	2
DOI	https://doi.org/10.1007/s10114-023-1082-5
出版状态	已出版 - 2月 2024

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title = "R-matrix for the 8-Dimensional Spin Representation of Uq(so7)",

abstract = "The purpose of the paper is to describe the solution to the quantum Yang–Baxter equation associated with the 8-dimensional spin representation Tsp of (Formula presented.). The self-duality of Tsp and the symmetry of the corresponding braiding matrix are proved. Also, the minimal polynomial of the braiding R-matrix of Tsp is presented explicitly in an ingenious method by taking advantage of nice features of the spin representation Tsp.",

keywords = "16T25, 17B37, 81R50, Braiding R-matrix, minimal polynomial, spin module",

author = "Hu, \{Hong Mei\} and Hu, \{Nai Hong\}",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag GmbH Germany \& The Editorial Office of AMS 2023.",

year = "2024",

month = feb,

doi = "10.1007/s10114-023-1082-5",

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T1 - R-matrix for the 8-Dimensional Spin Representation of Uq(so7)

AU - Hu, Hong Mei

AU - Hu, Nai Hong

N1 - Publisher Copyright: © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2023.

PY - 2024/2

Y1 - 2024/2

N2 - The purpose of the paper is to describe the solution to the quantum Yang–Baxter equation associated with the 8-dimensional spin representation Tsp of (Formula presented.). The self-duality of Tsp and the symmetry of the corresponding braiding matrix are proved. Also, the minimal polynomial of the braiding R-matrix of Tsp is presented explicitly in an ingenious method by taking advantage of nice features of the spin representation Tsp.

AB - The purpose of the paper is to describe the solution to the quantum Yang–Baxter equation associated with the 8-dimensional spin representation Tsp of (Formula presented.). The self-duality of Tsp and the symmetry of the corresponding braiding matrix are proved. Also, the minimal polynomial of the braiding R-matrix of Tsp is presented explicitly in an ingenious method by taking advantage of nice features of the spin representation Tsp.

KW - 16T25

KW - 17B37

KW - 81R50

KW - Braiding R-matrix

KW - minimal polynomial

KW - spin module

UR - https://www.scopus.com/pages/publications/85170202929

U2 - 10.1007/s10114-023-1082-5

DO - 10.1007/s10114-023-1082-5

M3 - 文章

AN - SCOPUS:85170202929

SN - 1439-8516

VL - 40

SP - 485

EP - 497

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 2

ER -

R-matrix for the 8-Dimensional Spin Representation of Uq(so7)

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R-matrix for the 8-Dimensional Spin Representation of U_q(so₇)