2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169403Each matrix A in GL_n(Z) naturally defines an automorphism f of the free r-step nilpotent Lie algebra on n generators. We study the relationship between the matrix A and the eigenvalues and rational invariant subspaces for f. We give applications to the study of Anosov automorphisms.39 pagesDynamical SystemsRings and Algebras22E25; 22D45; 37D20text