Anosov automorphisms of nilpotent Lie algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2009Embargo end date: 01 Jan 2008 English Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Journal of Modern Dynamics, volume 3, pages 121-158 (issn: 1930-532X,

Copyright policy )Funded by:NSF | ADVANCE Institutional Tra...

Authors: Payne, Tracy L.;

doi: 10.3934/jmd.2009.3.121 , 10.48550/arxiv.0809.3131

arXiv: 0809.3131

Anosov automorphisms of nilpotent Lie algebras

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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.

39 pages

Related Organizations

University of Michigan Ann Arbor
United States

Keywords

37D20, Rings and Algebras (math.RA), 22E25; 22D45; 37D20, FOS: Mathematics, 22E25, Mathematics - Rings and Algebras, 22D45, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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