On the commutator map for real semisimple Lie algebras

zbMath1352.17008arXiv1501.02934MaRDI QIDQ2802989

Dmitri N. Akhiezer

Publication date: 3 May 2016

Full work available at URL: https://arxiv.org/abs/1501.02934

zbMATH Keywords

Cartan decompositionexceptional algebrascommutator mapreal semisimple Lie algebras

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20)

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Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ Commutators and Cartan subalgebras in Lie algebras of compact semisimple Lie groups ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ On regular Lie algebras ⋮ Image of Lie polynomial of degree 2 evaluated on nilpotent Lie algebra

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