Classification of semisimple Levi-Tanaka algebras

DOI10.1007/BF01759376zbMath0999.17039OpenAlexW1992493874MaRDI QIDQ1568769

Mauro Nacinovich, Costantino Medori

Publication date: 4 February 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759376

zbMATH Keywords

real semisimple Lie algebrasgraded real Lie algebraLevi-Tanaka Lie algebrapartial complex structure

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (12)

Homogeneous models for Levi degenerate CR manifolds ⋮ Weak \(q\)-concavity conditions for CR manifolds ⋮ On some classes of \(\mathbb{Z}\)-graded Lie algebras ⋮ \(CR\)-admissible \(\mathbb Z_2\)-gradations and \(CR\)-symmetries ⋮ Maximally homogeneous nondegenerate CR manifolds ⋮ On equivalence problem for 2-nondegenerate CR geometries with simple models ⋮ A characterization of CR quadrics with a symmetry property ⋮ Standard CR manifolds of codimension 2 ⋮ On a class of symmetric CR manifolds ⋮ Algebras of infinitesimal CR automorphisms ⋮ Holomorphic extension from weakly pseudoconcave CR manifolds ⋮ On Beloshapka's rigidity conjecture for real submanifolds in complex space

Cites Work

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• Classification of Z-graded real semisimple Lie algebras
• Real hypersurfaces in complex manifolds
• On the equivalence problems associated with simple graded Lie algebras
• On the subalgebras \({\mathfrak g}_ 0\) and \({\mathfrak g}_{ev}\) of semisimple graded Lie algebras
• Conjugate classes of Cartan subalgebras in real semisimple Lie algebras
• On differential systems, graded Lie algebras and pseudo-groups
• Graded Lie algebras and generalized Jordan triple systems

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