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math.GR2007★ 1 cited
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…
math.RT2007★ 3 cited
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…
math.RT2007
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…