This article is cited in 2 papers

Triangulation of $n$-tuple solvable Lie algebras

N. A. Koreshkov

Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: We prove an analog of the Lie theorem for finite-dimensional $n$-tuple solvable Lie algebras over an algebraically closed field of characteristic 0.

Keywords: $n$-tuple Lie algebra, module of multiplications, representation of an $n$-tuple algebra.

UDC: 512.554

Received: 10.02.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:2, 56–59

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