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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (11): 87-94.doi: 10.6040/j.issn.1671-9352.0.2023.486

• • 上一篇    

对称群S3表示环的广义逆

曹刘峰1,2,魏俊潮2,胡佳伟2*   

  1. 1.盐城工学院数理学院, 江苏 盐城 224001;2.扬州大学数学学院, 江苏 扬州 225002
  • 发布日期:2025-11-11
  • 通讯作者: 胡佳伟(1990— ),男,讲师,博士,研究方向为Hopf代数偏作用. E-mail:ohujiaweio@163.com
  • 作者简介:曹刘峰(1995— ),男,讲师,博士,研究方向为Hopf代数与广义逆. E-mail:1204719495@qq.com
  • 基金资助:
    国家自然科学基金资助项目(12371041);江苏省青年基金资助项目(BK20210783);盐城工学院高层次人才科研启动项目(xjr2025009)

Generalized inverses in the representation ring of symmetric group S3

CAO Liufeng1,2, WEI Junchao2, HU Jiawei2*   

  1. 1. Department of Mathematics, Yancheng Institute of Technology, Yancheng 224001, Jiangsu, China;
    2. School of Mathematics, Yangzhou University, Yangzhou 225002, Jiangsu, China
  • Published:2025-11-11

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摘要： 利用Frobenius-Perron维数计算6阶对称群S3表示环r(S3)的正则元,刻画r(S3)的可逆元、MP-逆元、群逆元、EP元和SEP元。

关键词: 表示环, 广义逆, Frobenius-Perron维数, 融合环, 对称群

Abstract: By using Frobenius-Perron dimension, all regular elements in the representation ring r(S3) of the symmetric group S3 of order 6 are determined, and all invertible elements, MP-inverses, group invertible elements, EP and SEP elements in r(S3) are described.

Key words: representation ring, generalized inverse, Frobenius-Perron dimension, fusion ring, symmetric group

中图分类号: 

  • O153.3
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