4 citations · 9 across the 9 of their papers we have counts for
10 papers
"Building" exact confidence nets
Andrew R. Francis, Milan Stehlik, Henry P. Wynn
Confidence nets, that is, collections of confidence intervals that fill out the parameter space and whose exact parameter coverage can be computed, are familiar in nonparametric st…
Subgroup Majorization
Andrew R. Francis, Henry P. Wynn
The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as -majorization. There are…
Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group
Andrew Francis, Lenny Jones
Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group , and let $Z(\H_n)$ denote its centre. Let be a basis for $Z(\H_n)$ over .…
The centers of Iwahori-Hecke algebras are filtered
Andrew Francis, Weiqiang Wang
We show that the center of the Iwahori--Hecke algebra of the symmetric group carries a natural filtered algebra structure, and that the structure constants of the associated…
Monomial bases for the centres of the group algebra and Iwahori--Hecke algebra of S_4
Andrew Francis, Lenny Jones
G. E. Murphy showed in 1983 that the centre of every symmetric group algebra has an integral basis consisting of a specific set of monomial symmetric polynomials in the Jucys--Murp…
Centralizers in the Hecke algebras of complex reflection groups
Andrew Francis
How far can the elementary description of centralizers of parabolic subalgebras of Hecke algebras of finite real reflection groups be generalized to the complex reflection group ca…