The Lie group–Lie algebra correspondence is a fundamental concept in mathematics that relates Lie groups and Lie algebras, which are both central in the study of continuous symmetries and their structures. Here’s a breakdown of the concepts and their relationship: ### Lie Groups - A **Lie group** is a smooth manifold that also has a group structure such that the group operations (multiplication and inversion) are smooth maps. Lie groups are used to describe continuous symmetries (e.g.
Articles by others on the same topic
Lie group-Lie algebra correspondence by
Ciro Santilli 37 Updated 2025-06-17 +Created 1970-01-01
Bibliography: