DCDS
Examples of Anosov Lie algebras
Meera G. Mainkar Cynthia E. Will
Discrete & Continuous Dynamical Systems - A 2007, 18(1): 39-52 doi: 10.3934/dcds.2007.18.39
We construct new families of examples of (real) Anosov Lie algebras, starting with algebraic units. We also give examples of indecomposable Anosov Lie algebras (not a direct sum of proper Lie ideals) of dimension $13$ and $16$, and we conclude that for every $n \geq 6$ with $n \ne 7$ there exists an indecomposable Anosov Lie algebra of dimension $n$.
keywords: Anosov diffeomorphisms hyperbolic automorphisms. nilmanifolds nilpotent Lie algebras

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