Contact nilpotent lie algebras Article

In this work we show that for n ≥ 1, every finite (2n %2b 3)- dimensional contact nilpotent Lie algebra g can be obtained as a double extension of a contact nilpotent Lie algebra h of codimension 2. As a consequence, for n ≥ 1, every (2n %2b 3)-dimensional contact nilpotent Lie algebra g can be obtained from the 3-dimensional Heisenberg Lie algebra h3, by applying a finite number of successive series of double extensions. As a byproduct, we obtain an alternative proof of the fact that a (2n %2b 1)-nilpotent Lie algebra g is a contact Lie algebra if and only if it is a central extension of a nilpotent symplectic Lie algebra. ©2016 American Mathematical Society.

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