Mr. Francis Jones

Francis Barr

influenza programme chief, reported an increase in the number of cluster cases reported recently, with the biggest being a family of five cases. There have been seven cluster cases in Vietnam, all within single families, most recently in the northern province of Haiphong. No relative has been proved to have passed the disease to another in these cases but, Horby said, " the onset dates could be...

Francis Wolenski

A New Integral Basis for the Centre of the Hecke Algebra of Type a Andrew Francis and 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 of Jucys–Murphy elements. We also discuss the existence of integral bases for the centre of the Hecke algebra that consist solely of monomial symmetric polynomials of Jucys–Murphy elements. Finally, for n = 3, we show...

ON THE SQUARE ROOT OF THE CENTRE OF THE HECKE ALGEBRA OF TYPE A ANDREW FRANCIS and 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 generated by certain non-central square roots of central elements, and the generic existence of a rank-three submodule of the Hecke algebra contained in the square root of the centre, but not in the centre. The gener...

Copyrighted Material - Taylor & Francis

Light interactions with biological tissues and fluids can be categorized into two large classes of biological media: (1) strongly scattering (opaque) with skin, brain, vessel walls, eye sclera, blood, and lymph, and (2) weakly scattering (transparent) with cornea, crystalline lens, vitreous humor, and aqueous humor of the front chamber of the eye.1–7 Light interactions with tissues of the first...