A family of polynomials related to generic degrees

Details A family of polynomials related to generic degrees A family of polynomials related to generic degrees

2002-05-11

arxiv.org/abs/math/0205123v2

Mathematics

Representation Theory

12 pages, minor corrections and revisions

Scientific paper

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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