Symplectic Structures on Free Nilpotent Lie algebras

Mathematics – Differential Geometry

Scientific paper

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8 pages

Scientific paper

In this work we study the problem of existence of symplectic structures on
free nilpotent Lie algebras. Necessary and su?cient conditions are given for
even dimensional ones. The one dimensional central extension for odd
dimensional free nilpotent Lie algebras is also considered.

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