A classification of left-invariant symplectic structures on some Lie groups

DOI10.1007/s13366-022-00643-1zbMath1520.53044arXiv2012.01710WikidataQ115375902 ScholiaQ115375902MaRDI QIDQ6103604

Luis Pedro Castellanos Moscoso, Hiroshi Tamaru

Publication date: 27 June 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01710

zbMATH Keywords

symplectic QR decompositionsymplectic Lie groupleft-invariant symplectic structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) General properties and structure of real Lie groups (22E15)

Cites Work

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• Milnor-type theorems for left-invariant Riemannian metrics on Lie groups
• On the moduli spaces of left-invariant pseudo-Riemannian metrics on Lie groups
• The space of left-invariant metrics on a Lie group up to isometry and scaling
• Four dimensional symplectic Lie algebras
• Finiteness of orbit structure for real flag manifolds
• Curvatures of left invariant metrics on Lie groups
• Some remarks on the complex \(J\)-symmetric eigenproblem
• Matrix factorizations for symplectic QR-like methods
• Symplectic Forms on Six-dimensional Real Solvable Lie Algebras I
• Symplectic Homogeneous Spaces
• Symplectic structures on the filiform Lie algebras
• Complex structures on nilpotent Lie algebras

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