On the Orbits of Nilpotent 7-dimensional Lie Algebras in 4-dimensional Complex Space

DOI10.17516/1997-1397-2020-13-3-360-372OpenAlexW3039561365MaRDI QIDQ5859222

A. V. Loboda, Vladislav V. Krutskikh, R. S. Akopyan

Publication date: 16 April 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu845

zbMATH Keywords

vector fieldLie algebraholomorphic functioncomplex spaceLevi degeneracyhomogeneous variety

Mathematics Subject Classification ID

CR manifolds (32Vxx)

Related Items (7)

On the tubular structure of holomorphically homogeneous real hypersurfaces in \(\mathbb{C}^4 \) ⋮ On degenerate orbits of real Lie algebras in multidimensional complex spaces ⋮ Orbits of decomposable $7$-dimensional Lie algebras with $\mathfrak{sl}(2)$ subalgebra ⋮ On degeneracy of orbits of nilpotent Lie algebras ⋮ On the problem of describing holomorphically homogeneous real hypersurfaces of four-dimensional complex spaces ⋮ On 7-dimensional algebras of holomorphic vector fields in $ \Bbb C^4 $, having a 5-dimensional abelian ideal ⋮ Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$

Cites Work

• Homogeneous hypersurfaces in \(\mathbb C^{3}\), associated with a model CR-cubic
• On holomorphic realizations of nilpotent Lie algebras
• On orbits of action of 5-dimensional non-solvable Lie algebras in three-dimensional complex space
• CLASSIFICATION OF SPHERICAL TUBE HYPERSURFACES HAVING ONE MINUS IN THE SIGNATURE OF THE LEVI FORM
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