On holomorphic realizations of nilpotent Lie algebras

DOI10.1134/S0016266319020059zbMath1471.17024OpenAlexW2963076352MaRDI QIDQ2278744

A. V. Loboda, R. S. Akopyan

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266319020059

zbMATH Keywords

vector fieldnilpotent Lie algebracomplex spacehomogeneous manifoldholomorphic transformation

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Embeddings of CR manifolds (32V30)

Related Items (6)

On degeneracy of orbits of nilpotent Lie algebras ⋮ On holomorphic realizations of 5-dimensional Lie algebras ⋮ On the problem of describing holomorphically homogeneous real hypersurfaces of four-dimensional complex spaces ⋮ On orbits of action of 5-dimensional non-solvable Lie algebras in three-dimensional complex space ⋮ Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$ ⋮ On the Orbits of Nilpotent 7-dimensional Lie Algebras in 4-dimensional Complex Space

Cites Work

• Nilpotent algebras and affinely homogeneous surfaces
• Homogeneous hypersurfaces in \(\mathbb C^{3}\), associated with a model CR-cubic
• Classification of Levi degenerate homogeneous CR-manifolds in dimension 5
• Determination of a homogeneous strictly pseudoconvex surface from the coefficients of its normal equation
• Homogeneous Levi non-degenerate hypersurfaces in \(\mathbb{C}^3\)

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