∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
The classification of simple Lie groups contains four infinite series of “classical” simple Lie groups:
, the special unitary group
, the special orthogonal group
, the symplectic group
, the special orthogonal group
Apart from this there are five exceptional Lie groups.
graphics grabbed from Schwichtenberg
More generally, other matrix Lie groups, such as the general linear group , may be called “classical”.
Last revised on April 8, 2021 at 05:39:36. See the history of this page for a list of all contributions to it.