Power sums of Coxeter exponents

Details Power sums of Coxeter exponents Power sums of Coxeter exponents

2011-01-26

arxiv.org/abs/1101.5082v1

Mathematics

Combinatorics

14 pages

Scientific paper

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.

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