Commutators and Cartan subalgebras in Lie algebras of compact semisimple Lie groups

zbMath1383.22010arXiv1602.03479MaRDI QIDQ4604081

Joseph Malkoun, Nazih Nahlus

Publication date: 23 February 2018

Full work available at URL: https://arxiv.org/abs/1602.03479

zbMATH Keywords

semisimple Lie algebrascommutatorsCartan subalgebrasGotô's theorem

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Commutator calculus (20F12)

Related Items (4)

A note on commutators in compact semisimple Lie algebras ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ On regular Lie algebras

Cites Work

• The Lie theory of connected pro-Lie groups. A structure theory for pro-Lie algebras, pro-Lie groups, and connected locally compact groups
• A theorem on compact semi-simple groups
• On the commutator map for real semisimple Lie algebras
• Structure and Geometry of Lie Groups
• On convexity, the Weyl group and the Iwasawa decomposition
• The structure of compact groups. A primer for the student -- a handbook for the expert
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