Left invariant generalized complex and Kähler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies

DOI10.1016/j.jalgebra.2021.02.016zbMath1469.53128arXiv2007.07187OpenAlexW3133946478WikidataQ115350389 ScholiaQ115350389MaRDI QIDQ2662195

Mohammed Wadia Mansouri, Mohamed Boucetta

Publication date: 9 April 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07187

zbMATH Keywords

Lie groupsDolbeault cohomologyLie algebrasBott-Chern cohomologyAeppli cohomologygeneralized complex structuresgeneralized Kähler structures

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Generalized geometries (à la Hitchin) (53D18)

Related Items (2)

Generalized Kähler almost abelian Lie groups ⋮ Invariant generalized almost complex structures on real flag manifolds

Uses Software

• Maple

Cites Work

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• Generalized Kähler geometry
• Generalized complex structures and Lie brackets
• Cohomologies of generalized complex manifolds and nilmanifolds
• Generalized complex geometry
• Invariant complex structures on four-dimensional solvable real Lie groups
• Four dimensional symplectic Lie algebras
• Generalized complex structures on nilmanifolds
• Generalized complex manifolds and supersymmetry
• Pure Spinors on Lie groups
• Invariants of real low dimension Lie algebras
• Automorphisms of real four-dimensional Lie algebras and the invariant characterization of homogeneous 4-spaces
• Invariant generalized complex structures on Lie groups
• Generalized Calabi-Yau Manifolds

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