NYJM Abstract - 32-2 - Shoumin Liu, Zhaohuan Peng, and Xumin Wang

New York Journal of Mathematics
Volume 32 (2026), 35-43

Volume 32

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Shoumin Liu, Zhaohuan Peng, and Xumin Wang

Coxeter groups without infinite labels and the proper joint spectra of their faithful representations

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Published:	January 10, 2026.
Keywords:	Proper joint spectrum, Coxeter group, dihedral group.
Subject [2020]:	Primary 17B05; Secondary 17B10.

Abstract

We analyze faithful representations of dihedral groups and prove that Coxeter groups without infinite labels can be determined by the proper joint spectra of their faithful representations.

Acknowledgements

The first author is funded by the NSFC (Grant Numbers 12271298 and 11871308).

Author information

Shoumin Liu
School of Mathematics
Shandong University
Jinan, Shandong 250100, China
s.liu@sdu.edu.cn

Zhaohuan Peng
School of Mathematics
Shandong University
Jinan, Shandong 250100, China
1391994462@qq.com

Xumin Wang
School of Mathematics
Shandong University
Jinan, Shandong 250100, China
202320303@mail.sdu.edu.cn