Lie theory
ConceptFields of Mathematics
A branch of mathematics concerning Lie groups and Lie algebras.
1.25Uncommon
Uncommon
Lie theory
- Fields of Mathematics
Lie theory is a branch of mathematics initiated by Sophus Lie through studies of differential equations, automorphism groups and sphere contact. It includes the study of transformation groups, further developed by Wilhelm Killing and Élie Cartan. Its foundation is the Lie group–Lie algebra correspondence, expressed through the exponential map. Lie theory is part of differential geometry and is useful in mathematical physics for describing standard spacetime transformation groups.
The picture on this card was made with AI. It is an illustration, not a real photo of the subject.
- Initiator
- Sophus Lie
- Foundation
- The Lie group–Lie algebra correspondence
- Mathematical field
- Part of differential geometry
Sources and credits
Sources and credits
- Article
- Lie theory (English Wikipedia)
- Wikidata
- Q357300
- Text
- Card text is adapted from the English Wikipedia article by an automated summary. Wikipedia content is available under CC BY-SA 4.0; see the article history for its contributors. CC BY-SA 4.0 · Article history and contributors
- Illustration
- AI-generated illustration. Not a photograph or documentary image. (model: gpt-image-2)
- Popularity
- 34 median daily views (Wikimedia Pageviews API (all-access, user agent))
Kosmora is not affiliated with or endorsed by the Wikimedia Foundation.