%0 Journal Article
%T A local form for the automorphisms of the spectral unit ball
%A Pascal J. Thomas
%J Mathematics
%D 2008
%I arXiv
%X If F is an automorphism of the spectral unit ball, we show that, in a neighborhood of any cyclic (i.e. non-derogatory) matrix of the ball, the map F can be written as conjugation by a holomorphically varying non singular matrix. This provides a shorter proof of a theorem of J. Rostand, with a slightly stronger result.
%U http://arxiv.org/abs/0801.3396v1