- Born
- ( 1869-04-09 ) 9 April 1869, Dolomieu, Isère , France
- Died
- 6 May 1951 (1951-05-06) (aged 82), Paris, France
- Alma mater
- University of Paris
- Known for
- Lie groups ( Cartan's theorem ) , Vector spaces and exterior algebra , Differential geometry , Special and general relativity , Differential forms , Quantum mechanics ( spinors , rotating vectors ) , List of things named after Élie Cartan
- Children
- Henri Cartan
- Relatives
- Anna Cartan (sister)
- Awards
- Leconte Prize (1930) , Lobachevsky Prize (1937) , President of the French Academy of Sciences (1946) , Fellow of the Royal Society (1947)
- Fields
- Mathematics and physics
- Institutions
- University of Paris , École Normale Supérieure
- Thesis
- Sur la structure des groupes de transformations finis et continus (1894)
- Doctoral advisor
- Gaston Darboux , Sophus Lie
- Doctoral students
- Charles Ehresmann , Mohsen Hashtroodi , Kentaro Yano
- Other notable students
- Shiing-Shen Chern