Journal of Lie Theory

no. 3
Low Dimensional Contact Lie Algebras
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 811-838
The aim of this work is to provide explicit calculations that describe any 7-dimensional contact nilpotent Lie algebra as a double extension of a 5-dimensional contact nilpotent Lie algebra. In particular, we describe an arbitrary (2n+1)-dimensional contact filiform Lie algebra as a double extension of a (2n-1)-dimensional contact nilpotent Lie algebra m of nilindex n by a pair (D, θ).
DOI: 10.5802/jolt.1080
Classification: 17Bxx, 53D10
Keywords: Contact Lie algebras, double extension of Lie algebras, nilpotent Lie algebras 
@article{JOLT_2019_29_3_a9,
     author = {M. A. Alvarez and M. C. Rodriguez-Vallarte and G. Salgado},
     title = {Low {Dimensional} {Contact} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {811--838},
     year = {2019},
     volume = {29},
     number = {3},
     doi = {10.5802/jolt.1080},
     zbl = {1458.17006},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1080/}
}
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M. A. Alvarez; M. C. Rodriguez-Vallarte; G. Salgado. Low Dimensional Contact Lie Algebras. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 811-838. doi: 10.5802/jolt.1080

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