Characteristically nilpotent Lie algebras and symplectic structures

Details Characteristically nilpotent Lie algebras and symplectic structures Characteristically nilpotent Lie algebras and symplectic structures

2004-09-15

arxiv.org/abs/math/0409251v1

Forum Math. 18, Nr. 5, 769-787 (2006).

Mathematics

Symplectic Geometry

Scientific paper

We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space $H^2(\Lg,k)$ for certain Lie algebras $\Lg$. Among these Lie algebras are filiform CNLAs of dimension $n\le 14$. It turns out that there are many examples of CNLAs which admit a symplectic structure. A generalization of a sympletic structure is an affine structure on a Lie algebra.

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