Deformations of filiform Lie algebras and symplectic structures

DOI10.1134/S0081543806010172zbMath1351.17012MaRDI QIDQ2342207

Dmitry V. Millionshchikov

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

Some irreducible components of the variety of complex \((n + 1)\)-dimensional Leibniz algebras ⋮ Infinitesimal deformations of null-filiform Leibniz superalgebras ⋮ Infinitesimal deformations of naturally graded filiform Leibniz algebras

Cites Work

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• Example of an algebraic curve in \(C^ 2\) such that its complement has fundamental group with elements of finite order
• On nonformal simply-connected symplectic manifolds
• Symplectic or contact structures on Lie groups
• Deformations of a Lie algebra of vector fields on the line
• Filiform $ \mathbb N$-graded Lie algebras
• Cohomology of nilmanifolds and Goncharova's theorem
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Symplectic Homogeneous Spaces
• Symplectic structures on the filiform Lie algebras

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