Exceptional Lie algebra
An exceptional Lie algebra is a complex simple Lie algebra whose Dynkin diagram is of an exceptional type. There are five of them: g2, f4, e6, e7, e8. Their dimensions are 14, 52, 78, 133, and 248, respectively. These algebras are called exceptional because they do not belong to the infinite family of classical simple Lie algebras. They were discovered during the classification of all simple Lie algebras, and there is no single universally accepted way to construct them.
This page was last edited on 3 February 2026, at 07:59 (CET).