3 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
A new integral basis for the centre of the Hecke algebra of type A
Andrew Francis, Lenny Jones
We describe a recursive algorithm that produces an integral basis for the centre of the Hecke algebra of type A consisting of linear combinations of monomial symmetric polynomials…
On the square root of the centre of the Hecke algebra of type A
Andrew Francis, Lenny Jones
In this paper we investigate non-central elements of the Iwahori-Hecke algebra of the symmetric group whose squares are central. In particular, we describe a commutative subalgebra…