Table legend:S: Is this algebra simple? (Yes or No)SS: Is this algebra semi-simple? (Yes or No)Lie algebra Description S SS Remarks dim/RR the real numbers, the Lie bracket is zero 1Rn the Lie brac ...
Column legendCM: Is this group G compact? (Yes or No)\pi_0: Gives the group of components of G. The order of the component group gives the number of connected components. The group is connected if and ...
This article gives a table of some common Lie groups and their associated Lie algebras.The following are noted: the topological properties of the group (dimension; connectedness; compactness; the natu ...
