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Cyclotomic Factors of Coxeter Polynomials
(Elsevier, 2009)
In this paper we show that the cyclotomic factors of the En Coxeter polynomials depend only on the value of \(n\) mod 360, and come exclusively from spherical subdiagrams.
Automorphisms of Even Unimodular Lattices and Unramified Salem Numbers
(Elsevier, 2002)
In this paper we study the characteristic polynomials \(S(x)=\det(xI−F| II_{p,q})\) of automorphisms of even unimodular lattices with signature \((p,q)\). In particular, we show that any Salem polynomial of degree \(2n\) ...