Journal of Lie Theory

no. 1
Nilpotent Metric Lie Algebras of Small Dimension
Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 41-61
In a recent paper [Transf. Groups 11 (2006) 87--131] we developed a general classification scheme for metric Lie algebras, i.e. for finite-dimensional Lie algebras equipped with a non-degenerate invariant inner product. Here we determine all nilpotent Lie algebras L with dim [L, L] = 2 which are used in this scheme. Furthermore, we use the scheme to classify all nilpotent metric Lie algebras of dimension at most 10.
DOI: 10.5802/jolt.435
Classification: 17B30, 17B56
Keywords: Nilpotent Lie algebra, invariant quadratic form 
@article{JOLT_2007_17_1_a2,
     author = {I. Kath},
     title = {Nilpotent {Metric} {Lie} {Algebras} of {Small} {Dimension}},
     journal = {Journal of Lie Theory},
     pages = {41--61},
     year = {2007},
     volume = {17},
     number = {1},
     doi = {10.5802/jolt.435},
     zbl = {1135.17004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.435/}
}
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I. Kath. Nilpotent Metric Lie Algebras of Small Dimension. Journal of Lie Theory, Volume 17 (2007) no. 1, pp. 41-61. doi: 10.5802/jolt.435

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