Élie Cartan
E24242
Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
French mathematician
→
human → mathematician → |
| awardReceived |
Lobachevsky Prize
→
Sylvester Medal → |
| birthDate |
1869-04-09
→
|
| birthPlace |
Dolomieu, Isère, France
→
|
| countryOfCitizenship |
France
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|
| deathDate |
1951-05-06
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|
| deathPlace |
Paris, France
→
|
| educatedAt |
École Normale Supérieure
→
|
| employer |
University of Lyon
→
University of Montpellier → University of Paris → École Normale Supérieure → |
| familyName |
Cartan
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|
| fieldOfWork |
Lie theory
→
algebra → differential geometry → group theory → mathematics → representation theory → theoretical physics → theory of symmetric spaces → |
| givenName |
Élie
→
|
| hasChild |
Henri Cartan
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|
| influenced |
mathematical physics
→
modern differential geometry → the development of Lie group theory → the theory of symmetric spaces → |
| influencedBy |
Henri Poincaré
→
Sophus Lie → |
| knownFor |
Cartan connections
→
Cartan decomposition → Cartan subalgebras → Cartan’s method of moving frames → applications of Lie groups to differential equations → classification of simple Lie algebras → foundational work in differential geometry → theory of Lie groups → theory of symmetric spaces → work on exterior differential systems → work on spinors → |
| memberOf |
French Academy of Sciences
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|
| name |
Élie Cartan
→
|
| notableStudent |
André Weil
→
Claude Chevalley → Jean Dieudonné → |
Referenced by (3)
| Subject (surface form when different) | Predicate |
|---|---|
|
Harish-Chandra
→
|
influencedBy |
|
Élie Cartan
→
|
name |
|
Janet–Cartan theorem
→
|
namedAfter |