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arXiv · 0809.3131

Anosov Automorphisms of Nilpotent Lie Algebras

Tracy L. Payne
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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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Tracy L. Payne. 2008-09-18. Anosov Automorphisms of Nilpotent Lie Algebras. https://arxiv.org/abs/0809.3131

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