Characteristically nilpotent Lie algebras and symplectic structures
Abstract
We study symplectic structures on characteristically nilpotent Lie algebras (CNLAs) by computing the cohomology space H2(,k) for certain Lie algebras . Among these Lie algebras are filiform CNLAs of dimension n 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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