List of Simple Lie Groups - Notation

Notation

R, C, H, and O stand for the real numbers, complex numbers, quaternions, and octonions.

In the symbols such as E6−26 for the exceptional groups, the exponent −26 is the signature of an invariant symmetric bilinear form that is negative definite on the maximal compact subgroup. It is equal to the dimension of the group minus twice the dimension of a maximal compact subgroup.

The fundamental group listed in the table below is the fundamental group of the simple group with trivial center. Other simple groups with the same Lie algebra correspond to subgroups of this fundamental group (modulo the action of the outer automorphism group).

Read more about this topic:  List Of Simple Lie Groups