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Some infinite-dimensional representations of certain Coxeter groups

Published 19 May 2022 in math.RT, math.CO, and math.RA | (2205.09294v3)

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.

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