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math.RT2025
Coxeter groups and the proper joint spectrums of their faithful representations
Shoumin Liu, Zhaohuan Peng, Xumin Wang
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 re…
math.RT2025
The characteristic polynomials of imprimitive groups and affine Coxeter groups
Chenyue Feng, Shoumin Liu, Xumin Wang
In this paper, we will seek appropriate generators to define the characteristic polynomials of , and prove that for every finite dimensional representation of ,…