Borel subalgebra

Let 𝔤 be a semi-simplePlanetmathPlanetmath Lie groupMathworldPlanetmath, 𝔥 a Cartan subalgebraMathworldPlanetmath, R the associated root systemMathworldPlanetmath, and R+R a set of positive roots. We have a root decomposition into the Cartan subalgebra and the root spaces 𝔤α


Now let 𝔟 be the direct sum of the Cartan subalgebra and the positive root spaces.


This is called a Borel subalgebraMathworldPlanetmath.

Title Borel subalgebra
Canonical name BorelSubalgebra
Date of creation 2013-03-22 13:12:16
Last modified on 2013-03-22 13:12:16
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 6
Author mathcam (2727)
Entry type Definition
Classification msc 17B20