Resumen de A local form for the automorphisms of the spectral unit ball

Pascal J. Thomas

• If F is an automorphism of Ω n , then 2-dimensional spectral unit ball, we show that, in a neighborhood of any cyclic matrix of Ωn, the mapF 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.