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On unitary automorphisms of solvable Lie algebras

On unitary automorphisms of solvable Lie algebras

Let 7 be a finite dimensional vector space over real numbers.An automorphism A of V is called unitary if it is semisimple and all its eigenvalues are complex units.Particularly, all periodic automorphisms, i.e., such that T kidentity for some integer k, are unitary.The aim of this paper is to prove …