COMPLEX STRUCTURES ON STRATIFIED LIE ALGEBRAS

DOI10.1017/S0004972722000314zbMath1506.17012arXiv2202.02111OpenAlexW4224295985MaRDI QIDQ5867874

Junze Zhang

Publication date: 19 September 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.02111

zbMATH Keywords

nilpotent Lie algebracomplex structurestratified Lie algebra\(J\)-invariant central series

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30) Structure theory for linear algebraic groups (20G07)

Cites Work

• Complex analytic coordinates in almost complex manifolds
• A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
• Maximal nilpotent complex structures
• Classification of abelian complex structures on 6-dimensional Lie algebras
• Structure and Geometry of Lie Groups
• Geometry of nilmanifolds with left-invariant complex structure and deformations in the large
• Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
• Conformal and CR mappings on Carnot groups
• The ascending central series of nilpotent Lie algebras with complex structure
• Lie groups beyond an introduction
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