Lie element

Given a Lie algebraMathworldPlanetmath 𝔤 and its univeral enveloping algebra 𝔘(𝔤), then an element x𝔘(𝔤) is called a Lie element if x is in the image of 𝔤 in 𝔘(𝔤).

This term is most often used for free Lie algebras and specifically in the famous Baker-Campbell-Hausdorff formula (theorem).

Title Lie element
Canonical name LieElement
Date of creation 2013-03-22 16:51:14
Last modified on 2013-03-22 16:51:14
Owner Algeboy (12884)
Last modified by Algeboy (12884)
Numerical id 4
Author Algeboy (12884)
Entry type Definition
Classification msc 17B35
Classification msc 16S30
Defines Lie element