simple Lie group
Formal Lie groupoids
Simple Lie groups
A simple Lie group is a connected Lie group with exactly two connected normal subgroups that is not abelian.
This is not the same thing as a simple object in LieGrp (or even in ). However, the Lie algebra associated to a simple Lie group is always a simple Lie algebra (although that definition also requires a non-abelian clause).
The classification of simple Lie groups consists of four infinite series – the classical Lie groups – and five separate cases – the exceptional Lie groups.
See Wikipedia's list of simple Lie groups.
Revised on September 19, 2010 07:19:22
by Urs Schreiber