Examples of Anosov Lie algebras

Meera G. Mainkar, Cynthia E. Will

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

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.

Original languageEnglish
Pages (from-to)39-52
Number of pages14
JournalDiscrete and Continuous Dynamical Systems
Volume18
Issue number1
StatePublished - May 2007

Keywords

  • Anosov diffeomorphisms
  • Hyperbolic automorphisms
  • Nilmanifolds
  • Nilpotent Lie algebras

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