Let 𝔤 be a Lie algebra. Then the nilradical 𝔫 of 𝔤 is defined to be the intersection of the kernels of all the irreducible representations of 𝔤. Equivalently, 𝔫=[𝔤,𝔤]rad𝔤, the intersection of the derived ideal and radical of 𝔤.

Title nilradical
Canonical name Nilradical1
Date of creation 2013-03-22 13:51:22
Last modified on 2013-03-22 13:51:22
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 5
Author bwebste (988)
Entry type Definition
Classification msc 17B05