Journal of Lie Theory

no. 2
Six-Dimensional Lie Algebras with a Five-Dimensional Nilradical
Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 313-355
This paper attempts to correct and simplify an old paper by G. M. Mubarakzyanov which classifies the six-dimensional indecomposable solvable Lie algebras for which the nilradical is five-dimensional. Mubarakzyanov discerned nine classes of such algebras depending on the isomorphism class of the nilradical. Each of these nine classes is re-examined. Many errors are corrected and a few algebras are shown to be redundant. In many cases some parameters can be removed completely. In addition the range of values of the parameters that occur in many classes are reduced, an issue which Mubarakzyanov did not treat very systematically.
DOI: 10.5802/jolt.728
Classification: 17B99
Keywords: Solvable six-dimensional Lie algebra, nilradical 
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     author = {A. Shabanskaya and G. Thompson},
     title = {Six-Dimensional {Lie} {Algebras} with a {Five-Dimensional} {Nilradical}},
     journal = {Journal of Lie Theory},
     pages = {313--355},
     year = {2013},
     volume = {23},
     number = {2},
     doi = {10.5802/jolt.728},
     zbl = {1280.17014},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.728/}
}
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A. Shabanskaya; G. Thompson. Six-Dimensional Lie Algebras with a Five-Dimensional Nilradical. Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 313-355. doi: 10.5802/jolt.728

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