Complex symplectic structures on Lie algebras
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Publication:1996042
DOI10.1016/j.jpaa.2020.106585zbMath1464.53100arXiv1811.05969OpenAlexW3093700507WikidataQ115345314 ScholiaQ115345314MaRDI QIDQ1996042
Adela Latorre, Marco Freibert, Giovanni Bazzoni, Benedict Meinke
Publication date: 3 March 2021
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.05969
Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) Nilpotent and solvable Lie groups (22E25) Other complex differential geometry (53C56) Lie algebras and Lie superalgebras (17B99)
Related Items (5)
Complex symplectic Lie algebras with large abelian subalgebras ⋮ Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Anti-quasi-Sasakian manifolds ⋮ Symplectic structures, product structures and complex structures on Leibniz algebras ⋮ Symmetric and skew-symmetric complex structures
Cites Work
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- Complex structures and non-degenerate closed 2-forms of compact real parallelizable nilmanifolds
- Weak mirror symmetry of complex symplectic Lie algebras
- Complex symplectic structures and the \(\partial {\bar{\partial }}\)-lemma
- Invariant complex structures on four-dimensional solvable real Lie groups
- Variétés kähleriennes dont la première classe de Chern est nulle
- Compact hypercomplex and quaternionic manifolds
- Hypercomplex structures on Kähler manifolds
- A construction of compact pseudo-Kähler solvmanifolds with no Kähler structures
- Double products and hypersymplectic structures on \(\mathbb R^{4n}\)
- Comparing tamed and compatible symplectic cones and cohomological properties of almost complex manifolds
- Compact hyperkähler manifolds: Basic results
- Hypercomplex eight-dimensional nilpotent Lie groups.
- Neutral Calabi-Yau structures on Kodaira manifolds
- Examples of compact holomorphic symplectic manifolds which are not Kählerian. II
- \(\partial\overline{\partial}\)-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps
- Hypersymplectic Lie algebras
- On the cohomology of compact homogeneous spaces of nilpotent Lie groups
- Minimal Models of Nilmanifolds
- Cohomologies of deformations of solvmanifolds and closedness of some properties
- On cohomological decomposability of almost–Kähler structures
- Quivers and difference Painleve equations
- Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
- EXAMPLES OF COMPACT HOLOMORPHIC SYMPLECTIC MANIFOLDS WHICH ARE NOT KÄHLERIAN III
- The ascending central series of nilpotent Lie algebras with complex structure
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