Coxeter polynomials of Salem trees

• Autorzy: Charalampos A. Evripidou
• Języki publikacji: EN

Abstrakty

EN

We compute the Coxeter polynomial of a family of Salem trees, and also the limit of the spectral radii of their Coxeter transformations as the number of their vertices tends to infinity. We also prove that if z is a root of multiplicities $m₁,..., m_{k}$ for the Coxeter polynomials of the trees $𝓣₁,..., 𝓣_{k}$ respectively, then z is a root for the Coxeter polynomial of their join, of multiplicity at least $min{m-m₁,..., m-m_{k}}$ where $m = m₁+ ⋯ +m_{k}$.

Kategorie tematyczne

• 20F55: Reflection and Coxeter groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 2
• Strony: 209-226

Daty

wydano

2015

Twórcy

autor

Charalampos A. Evripidou

• Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus

Identyfikatory

DOI

10.4064/cm141-2-6