Abelian \(J\)-invariant ideals on nilpotent Lie algebras

DOI10.1007/978-981-19-4751-3_49MaRDI QIDQ6193549

Adela Latorre, Luis Ugarte

Publication date: 16 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

zbMATH Keywords

nilpotent Lie algebracomplex structureabelian \(J\)-invariant ideal

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30)

Cites Work

• Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
• Hermitian structures on six-dimensional nilmanifolds
• On compact complex parallelisable solvmanifolds
• Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
• The Kuranishi space of complex parallelisable nilmanifolds
• Geometry of nilmanifolds with left-invariant complex structure and deformations in the large
• Lie-algebra Dolbeault-cohomology and small deformations of nilmanifolds
• Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
• Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups
• The ascending central series of nilpotent Lie algebras with complex structure
• Complex structures on nilpotent Lie algebras
• Dolbeault cohomology of compact nilmanifolds

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