Some infinite-dimensional representations of certain Coxeter groups
Representation Theory
2025-03-25 v3 Combinatorics
Rings and Algebras
Abstract
A Coxeter group admits infinite-dimensional irreducible complex representations if and only if it is not finite or affine. In this paper, we provide a construction of some of those representations for certain Coxeter groups using some topological information of the corresponding Coxeter graphs.
Cite
@article{arxiv.2205.09294,
title = {Some infinite-dimensional representations of certain Coxeter groups},
author = {Hongsheng Hu},
journal= {arXiv preprint arXiv:2205.09294},
year = {2025}
}
Comments
Published version. 13 pages. Comments welcome!