Symplectic structures on the filiform Lie algebras
From MaRDI portal
Publication:5929284
DOI10.1016/S0022-4049(99)90120-2zbMath0966.17006OpenAlexW2002093956WikidataQ115340052 ScholiaQ115340052MaRDI QIDQ5929284
J. R. Gómez, A. Jiménez-Merchán, Yu. B. Khakimdzhanov
Publication date: 14 August 2001
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-4049(99)90120-2
Symplectic manifolds (general theory) (53D05) Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30)
Related Items (12)
Nilradicals of parabolic subalgebras admitting symplectic structures ⋮ Symplectic or contact structures on Lie groups ⋮ Odd-quadratic Lie superalgebras with a weak filiform module as an odd part ⋮ A classification of left-invariant symplectic structures on some Lie groups ⋮ Invariant contact structures on 7-dimensional nilmanifolds ⋮ Invariant structures on Lie groups ⋮ Symplectic Lie algebras with degenerate center ⋮ Projective non affine structures on filiform Lie groups ⋮ Characteristically nilpotent Lie algebras and symplectic structures ⋮ Deformations of filiform Lie algebras and symplectic structures ⋮ Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical ⋮ Left-invariant symplectic structures on diagonal almost abelian Lie groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Lie groups with left-invariant symplectic or Kählerian structures
- Variety of laws on nilpotent Lie algebras.
- Low-dimensional filiform Lie algebras
- The affine group as symplectic manifold
- On nilpotent Lie algebras having a torus of derivations
- A non-affine nilvariety
- Symplectic double extension of a symplectic Lie group
- Domaines bornés homogènes et orbites de groupes de transformations affines
- Symplectic Homogeneous Spaces
This page was built for publication: Symplectic structures on the filiform Lie algebras
