Authors: Gordon James and Andrew Mathas.
Addresses:   
  G.~J.& Department of Mathematics, Imperial College\\
       & 180 Queen's Gate, London SW7 2BZ. U.K.\\
         {\tt www.ma.ic.ac.uk/$\sim$gdj/}\\[5pt]
  A.~M.&School of Mathematics F07, University of Sydney\\
       &Sydney N.S.W. 2006.\hfill\qquad
       &Australia.\hfill\qquad
	            {\tt www.maths.usyd.edu.au/u/mathas/}

Title: Equating decomposition numbers for different primes
Status: Submitted.

Abstract:
This paper shows that certain decomposition numbers for the Hecke
algebras and $q$--Schur algebras at different roots of unity in
characteristic zero are equal. To prove our results we  first
establish the corresponding theorem for the canonical basis of the
level one Fock space and then apply deep results of Ariki and
Varagnolo and Vasserot.