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Classification of Orbit Closures in the Variety of 4-Dimensional Symplectic Lie Algebras
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Classification of Orbit Closures in the Variety of 4-Dimensional Symplectic Lie Algebras
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Journal Article
Classification of Orbit Closures in the Variety of 4-Dimensional Symplectic Lie Algebras
2024
Overview
The aim of this paper is to study the natural action of the real symplectic group,
Sp
(
4
,
R
)
, on the algebraic set of 4-dimensional Lie algebras admitting symplectic structures and to give a complete classification of orbit closures. We present some applications of such classification to the study of the Ricci curvature of left-invariant almost Kähler structures on four dimensional Lie groups.
Publisher
Springer Netherlands,Springer Nature B.V
