Examples of Anosov Lie algebras

M. MAINKAR, C. WILL

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

AMER INST MATHEMATICAL SCIENCES

Lugar: springfield; Año: 2006 vol. 18 p. 39 - 52

1078-0947

Abstract. We construct new families of examples of (real) Anosov Lie alge- bras 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 6= 7 there exists an indecomposable Anosov Lie algebra of dimension n. indecomposable Anosov Lie algebra of dimension n. bras 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 6= 7 there exists an indecomposable Anosov Lie algebra of dimension n. indecomposable Anosov Lie algebra of dimension n. We construct new families of examples of (real) Anosov Lie alge- bras 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 6= 7 there exists an indecomposable Anosov Lie algebra of dimension n. indecomposable Anosov Lie algebra of dimension n. n ¸ 6 with n 6= 7 there exists an indecomposable Anosov Lie algebra of dimension n.n.