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arxiv: math/0611535 · v1 · submitted 2006-11-17 · 🧮 math.RT

A Chebycheff recursion formula for Coxeter polynomials

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keywords coxeteralgebrascalledcanonicalchebycheffcircleclassdimensional
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We investigate the spectral properties of a new class of finite dimensional algebras, called extended canonical. In particular, we show that at most four eigenvalues of the Coxeter transformation may lie outside the unit circle.

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