Examples of Anosov Lie Algebras

2006/06/01 by Meera G. Mainkar, Mainkar, Meera G., Cynthia E. Will +1
Mathematics · #20F34 #22E25 #37D20 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:20F34 #msc:22E25 #msc:37D20

paper · pdf · doi:10.48550/arxiv.math/0606036

14 pages

arxiv created 2006/06/01 · arxiv updated 2009/12/01

Abstract

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 ≥ 6 with n ≠ 7 there exists an indecomposable Anosov Lie algebra of dimension n.

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