Anosov Automorphisms of Nilpotent Lie Algebras

Details Anosov Automorphisms of Nilpotent Lie Algebras Anosov Automorphisms of Nilpotent Lie Algebras

2008-09-18

arxiv.org/abs/0809.3131v1

Mathematics

Dynamical Systems

39 pages

Scientific paper

Each 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.

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