Characteristically nilpotent Lie algebras and symplectic structures

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dc.creatorBurde, Dietrich
dc.date2004-09-15
dc.date.accessioned2026-07-07T06:33:31Z
dc.date.available2026-07-07T06:33:31Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0409251
dc.identifierhttp://arxiv.org/abs/math/0409251
dc.identifierForum Math. 18, Nr. 5, 769-787 (2006).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99219
dc.subjectSymplectic Geometry
dc.subjectRings and Algebras
dc.titleCharacteristically nilpotent Lie algebras and symplectic structures
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