All solvable extensions of a class of nilpotent Lie algebras of dimensionnand degree of nilpotencyn− 1

DOI10.1088/1751-8113/42/10/105201zbMath1178.17009arXiv0809.3259OpenAlexW2020846111MaRDI QIDQ3615451

Libor Šnobl, Pavel Winternitz

Publication date: 20 March 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3259

zbMATH Keywords

solvable Lie algebrasnilradicalCasimir invariants

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Solvable, nilpotent (super)algebras (17B30)

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Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals ⋮ Solvable extensions of a class of nilpotent linear Lie algebras ⋮ Measurable foliations associated to the coadjoint representation of a class of seven-dimensional solvable Lie groups ⋮ Spectral invariants for finite dimensional Lie algebras ⋮ Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras ⋮ Residually solvable extensions of an infinite dimensional filiform Leibniz algebra ⋮ Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length ⋮ Foliations formed by generic coadjoint orbits of a class of real seven-dimensional solvable Lie groups

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