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math.RT2014
Characteristic and Coxeter polynomials for affine Lie algebras
Pantelis A. Damianou, Charalampos A. Evripidou
We compute the characteristic polynomials of affine Cartan, adjacency matrices and Coxeter polynomials of the associated Coxeter system using Chebyshev polynomials. We give explici…
math.SP2014
Coxeter Polynomials of Salem trees
Charalampos A. Evripidou
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 inf…