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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Homogeneous Lie algebras and expanding automorphisms


Author: R. Warren Johnson
Journal: Proc. Amer. Math. Soc. 48 (1975), 292-296
MSC: Primary 17B40
MathSciNet review: 0374217
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Abstract: A condition is given which, if satisfied by the spectrum of an automorphism of a Lie algebra, implies that the Lie algebra is homogeneous. In particular, almost all Lie algebras admitting expanding automorphisms are homogeneous.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0374217-4
Keywords: Nilpotent Lie group, nilpotent Lie algebra, homogeneous Lie algebra, quasi-cyclic nilpotent Lie algebra, expanding automorphism, Anosov automorphism
Article copyright: © Copyright 1975 American Mathematical Society