Lie bracket

• enPR: lē′ brăk′ĭt
• (contemporary Received Pronunciation) IPA^(key): /ˈliː ˌbɹak.ɪt/
• (General American, Canada) IPA^(key): /ˈli ˌbɹæk.ɪt/
• (General Australian, conservative Received Pronunciation) IPA^(key): /ˈliː ˌbɹæk.ɪt/
• (New Zealand) IPA^(key): /ˈliː ˌbɹɛk.ət/
• (Scotland) IPA^(key): /ˈliː ˌbɹɛk.ət/
• (India) IPA^(key): /ˈliː ˌbɾak.ɪʈ/
• Hyphenation: Lie brack‧et

the Lie bracket

2. (mathematics) The commutation operation [a,b]=ab-ba.

• “Lie bracket” in TheFreeDictionary.com, Huntingdon Valley, Pa.: Farlex, Inc., 2003–2025, retrieved 17 August 2025.
• Weisstein, Eric W. (1999–2025), “Lie Bracket”, in MathWorld, Wolfram Research, retrieved 17 August 2025.
• matte (16 February 2004), “Lie bracket”, in PlanetMath‎^[1] (wiki), University of Waterloo Faculty of Mathematics, archived from the original on 21 March 2004