Document Zbl 1265.17017

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Šnobl, Libor

Maximal solvable extensions of filiform algebras. (English) Zbl 1265.17017

Arch. Math., Brno 47, No. 5, 405-414 (2011).

The author studies a classification question for Lie algebras, specifically the problem to describe all solvable extensions of a given nilpotent Lie algebra. Filiform Lie algebras are the “most noncommutative” nilpotent Lie algebras and their solvable extensions of codimension 2 are known (see [M. Goze and Yu. Khakimdjanov, Nilpotent Lie algebras. Mathematics and its Applications 361. Dordrecht: Kluwer Academic Publishers (1996; Zbl 0845.17012)]). The article under review presents an alternative proof of this result.

Reviewer: Martin Čadek (Brno)

Cited in 1 Document

MSC:

17B30

Solvable, nilpotent (super)algebras

Keywords:

solvable Lie algebra; nilpotent Lie algebra; filiform algebra

Citations:

Zbl 0845.17012

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