∞-Lie theory (higher geometry)
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 August 29, 2019 at 03:58:05. See the history of this page for a list of all contributions to it.