English

A family of polynomials related to generic degrees

Representation Theory 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0205123,
  title  = {A family of polynomials related to generic degrees},
  author = {Dean Alvis},
  journal= {arXiv preprint arXiv:math/0205123},
  year   = {2007}
}

Comments

12 pages, minor corrections and revisions