English

Coxeter groups and the proper joint spectrums of their faithful representations

Representation Theory 2025-11-06 v1

Abstract

In this paper, we analyze the faithful representations of the dihedral groups, and prove that the Coxeter groups can be determined by the proper joint spectrum of their faithful representations.

Keywords

Cite

@article{arxiv.2511.03101,
  title  = {Coxeter groups and the proper joint spectrums of their faithful representations},
  author = {Shoumin Liu and Zhaohuan Peng and Xumin Wang},
  journal= {arXiv preprint arXiv:2511.03101},
  year   = {2025}
}

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11 pages