Élie Cartan
French mathematician (1869–1951) / From Wikipedia, the free encyclopedia
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Élie Joseph Cartan ForMemRS (French: [kaʁtɑ̃]; 9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory of Lie groups, differential systems (coordinate-free geometric formulation of PDEs), and differential geometry. He also made significant contributions to general relativity and indirectly to quantum mechanics.[1][2][3] He is widely regarded as one of the greatest mathematicians of the twentieth century.[3]
Quick Facts Born, Died ...
Élie Cartan | |
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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) |
Scientific career | |
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 |
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His son Henri Cartan was an influential mathematician working in algebraic topology.