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A family of polynomials related to generic degrees

Dean Alvis
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Abstract

A family of polynomials parameterized by the conjugacy classes of a finite Coxeter group is investigated. These polynomials, together with the character table of the group, determine the associated generic degrees. The polynomials are described completely for classes that meet a parabolic subgroup whose components are of type A or are dihedral, and for the class of Coxeter elements.

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Dean Alvis. 2002-12-20. A family of polynomials related to generic degrees. https://arxiv.org/abs/math/0205123

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