Some Nilpotent Lie Algebras and Its Applications

M. Goze () and Yu. Khakimdjanov ()
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M. Goze: Université de Haute Alsace, Faculté des Sciences et Techniques
Yu. Khakimdjanov: Université de Haute Alsace, Faculté des Sciences et Techniques

A chapter in Algebra and Operator Theory, 1998, pp 49-64 from Springer

Abstract: Abstract We examine the problem of describing filiform Lie algebras over the field ℂ admitting a semisimple derivation. As applications of obtained results we give a description of Lie algebras with a given filiform nilradical.

Keywords: Maximal Torus; Levi Decomposition; Nilpotent Derivation; Levi Subalgebra; Maximal Semisimple Subalgebra (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-5072-9_5

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DOI: 10.1007/978-94-011-5072-9_5

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