nilradical

Let $\mathfrak{g}$ be a Lie algebra. Then the nilradical $\mathfrak{n}$ of $\mathfrak{g}$ is defined to be the intersection of the kernels of all the irreducible representations of $\mathfrak{g}$ . Equivalently, $\mathfrak{n}=[\mathfrak{g},\mathfrak{g}]\cap\mathrm{rad}\,\mathfrak{g}$ , the intersection of the derived ideal and radical of $\mathfrak{g}$ .

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