29 citations · 31 across the 8 of their papers we have counts for
8 papers
An extension of a theorem and errata for "A Class of Representations of Hecke Algebras"
Dean Alvis
By Theorem~1.12 of the paper "A Class of Representations of Hecke Algebras", if is a Coxeter group whose proper parabolic subgroups are finite, and if the module of a finite $W…
A class of representations of Hecke algebras II
Dean Alvis
Let be a Coxeter group whose proper parabolic subgroups are finite. According to Theorem~1.12 of [1], if the module of a finite -digraph is isomorphic to the module of a…
A class of representations of Hecke algebras
Dean Alvis
A type of directed multigraph called a W-digraph is introduced to model the structure of certain representations of Hecke algebras, including those constructed by Lusztig and Vogan…
Subrings of the asymptotic Hecke algebra of type
Dean Alvis
The structure of subring of the asymptotic Hecke algebra is described for a left cell of the Coxeter group of type . A small set of generators is produc…
Induce/restrict matrices for exceptional Weyl groups
Dean Alvis
This manuscript contains tables giving the multiplicities with which irreducible characters of exceptional Weyl groups appear in characters induced from certain reflection subgroup…
A family of polynomials related to generic degrees
Dean Alvis
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, determi…