Anosov Automorphisms of Nilpotent Lie Algebras

2008/09/18 by Tracy L. Payne, Payne, Tracy L.
Mathematics · #22D45 #22E25 #37D20 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0809.3131

openalex publication_date 2008/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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