Power sums of Coxeter exponents
Combinatorics
2012-08-13 v1 Representation Theory
Abstract
Consider an irreducible finite Coxeter system. We show that for any nonnegative integer n the sum of the nth powers of the Coxeter exponents can be written uniformly as a polynomial in four parameters: h (the Coxeter number), r (the rank), and two further parameters.
Cite
@article{arxiv.1101.5082,
title = {Power sums of Coxeter exponents},
author = {John M. Burns and Ruedi Suter},
journal= {arXiv preprint arXiv:1101.5082},
year = {2012}
}
Comments
14 pages