Deformations of graded Lie algebras and symplectic structures

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dc.creatorMillionschikov, Dmitri V.
dc.date2003-05-03
dc.date.accessioned2026-07-07T04:57:44Z
dc.date.available2026-07-07T04:57:44Z
dc.descriptionWe study symplectic structures on filiform Lie algebras -- nilpotent Lie algebras of the maximal length of the descending central sequence. In the present article we classify the Lie algebras with the structure relations of the following form: $$[e_i,e_j]=(j-i)e_{i+j}+\sum_{l{=}1}c_{ij}^l e_{i+j+l}, i+j \le n.$$ In even dimensions the subspace of symplectic Lie algebras has the codimension one.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0305057
dc.identifierhttp://arxiv.org/abs/math/0305057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67362
dc.subjectRings and Algebras
dc.subjectSymplectic Geometry
dc.subject17B30 (Primary) 53D05 (Secondary)
dc.titleDeformations of graded Lie algebras and symplectic structures
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