Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms

DOI10.1007/s00605-008-0562-0zbMath1153.22008OpenAlexW2024719980MaRDI QIDQ956664

Jorge Lauret

Publication date: 25 November 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0562-0

zbMATH Keywords

nilmanifoldnilpotent Lie algebraAnosov diffeomorphismrational form

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (8)

Classification of K -forms in nilpotent Lie algebras associated to graphs ⋮ On Anosov automorphisms of nilmanifolds ⋮ A curve of nilpotent Lie algebras which are not Einstein nilradicals ⋮ The structure of underlying Lie algebras ⋮ A new method for constructing Anosov Lie algebras ⋮ Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms ⋮ On closed manifolds admitting an Anosov diffeomorphism but no expanding map ⋮ On the degree of polynomial subgroup growth of nilpotent groups

Cites Work

• Nilpotent groups of Hirsch length six
• Examples of Anosov diffeomorphisms
• On Anosov automorphisms of nilmanifolds
• Two-step nilpotent Lie algebras
• Nilmanifolds of dimension ≤8 admitting Anosov diffeomorphisms
• Differentiable dynamical systems
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