JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 87-94.doi: 10.6040/j.issn.1671-9352.0.2023.486

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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

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

CLC Number: 

  • O153.3
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