Power sums of Coxeter exponents

  • Burns J
  • Suter R
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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), α, β (two further parameters). © 2012 Elsevier Ltd.

Author-supplied keywords

  • Coxeter exponents
  • Coxeter group
  • Power sum
  • Root system
  • Todd polynomial

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Authors

  • John M. Burns

  • Ruedi Suter

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