Title: Stable basic sets for finite special linear and unitary group,
Abstract: In this paper we show, using Deligne-Lusztig theory and Kawanaka's theory of
generalised Gelfand-Graev representations, that the decomposition matrix of the
special linear and unitary group in non defining characteristic can be made
unitriangular with respect to a basic set that is stable under the action of
automorphisms.