Examples of Anosov Lie Algebras

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 \(n \neq 7\) there exists an...

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Bibliographic Details
Published in:arXiv.org 2006-06
Main Authors: Mainkar, Meera G, Will, Cynthia E
Format: Article
Language:English
Subjects:
Algebra
Lie groups
Online Access:Get full text
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Summary: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 \(n \neq 7\) there exists an indecomposable Anosov Lie algebra of dimension \(n\).
ISSN:2331-8422