Geodesic
Low Dimensional Contact Lie Algebras
Journal of Lie theory, Tome 29 (2019) no. 3, pp. 811-838
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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).
Classification : 17Bxx, 53D10
Mots-clés : Contact Lie algebras, double extension of Lie algebras, nilpotent Lie algebras 
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     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},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a9/}
}
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M. A. Alvarez; M. C. Rodriguez-Vallarte; G. Salgado. Low Dimensional Contact Lie Algebras. Journal of Lie theory, Tome 29 (2019) no. 3, pp. 811-838. http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a9/