On Cartan subalgebras and Cartan subspaces of nonsymmetric pairs of Lie algebras

DOI10.1090/S0002-9939-2013-11508-XzbMath1281.17007MaRDI QIDQ2839294

Boris Širola

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cartan pairsfinite dimensional semisimple Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras ⋮ Compatible pairs of Borel subalgebras and shared orbit pairs

Cites Work

• Pairs of semisimple Lie algebras and their maximal reductive subalgebras
• Primitive ideals and nilpotent orbits in type \(G_ 2\)
• Some structural results for nonsymmetric pairs of Lie algebras
• Normalizers and self-normalizing subgroups
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Cartan Subspaces of Symmetric Lie Algebras
• Nilpotent Orbits, Normality, and Hamiltonian Group Actions
• Lie groups beyond an introduction
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