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A
note on commutators in compact semisimple Lie algebras
Linus Kramer |
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Vol. 20 (2023), No. 2-3, 317–324
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Abstract |
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Given any two elements in a compact semisimple Lie algebra, we show that there exist elements such that The proof uses Cartan subalgebras and their root systems. We also review some related problems about Cartan subalgebras in compact semisimple Lie algebras. |
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Dedicated to Jacques Tits |
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Keywords
Lie algebra, commutator, Cartan subalgebra
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Mathematical Subject Classification
Primary: 22E60
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Milestones
Received: 23 August 2022
Revised: 21 March 2023
Accepted: 14 May 2023
Published: 13 September 2023
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Authors |
| Linus Kramer | |
| Mathematisches Institut Fachbereich Mathematik und Informatik Universität Münster Münster Germany |
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| © 2023 MSP (Mathematical Sciences Publishers). |
