Anosov Automorphisms of Nilpotent Lie Algebras
classification
🧮 math.DS
math.RA
keywords
anosovautomorphismsmatrixnilpotentalgebraalgebrasapplicationsautomorphism
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Each matrix A in GL_n(Z) naturally defines an automorphism f of the free r-step nilpotent Lie algebra on n generators. We study the relationship between the matrix A and the eigenvalues and rational invariant subspaces for f. We give applications to the study of Anosov automorphisms.
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