Journal of Lie Theory 29 (2019), No. 3, 811--838
Copyright Heldermann Verlag 2019
Low Dimensional Contact Lie Algebras
María A. Alvarez
Dep. de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile
maria.alvarez@uantof.cl
María C. Rodríguez-Vallarte
Fac. de Ciencias, UASLP, San Luis Potosí, Mexico
mcvallarte@fc.uaslp.mx
Gil Salgado
Fac. de Ciencias, UASLP, San Luis Potosí, Mexico
gsalgado@fciencias.uaslp.mx
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).
Keywords: Contact Lie algebras, double extension of Lie algebras, nilpotent Lie algebras.
MSC: 17Bxx, 53D10
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