Élie Cartan

E24242
French mathematician human mathematician

Élie Cartan was a pioneering French mathematician renowned for his foundational work in differential geometry, Lie groups, and the theory of symmetric spaces.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (2)

Label Occurrences
Élie Cartan canonical 28
Louis Cartan 1

Statements (48)

Predicate Object
instanceOf French mathematician ⓘ
human ⓘ
mathematician ⓘ
awardReceived Lobachevsky Prize ⓘ
Sylvester Medal ⓘ
birthDate 1869-04-09 ⓘ
birthPlace Dolomieu, Isère, France ⓘ
countryOfCitizenship France ⓘ
deathDate 1951-05-06 ⓘ
deathPlace Paris ⓘ
surface form: Paris, France
educatedAt École Normale (Paris) ⓘ
surface form: École Normale Supérieure
employer University of Lyon ⓘ
University of Montpellier ⓘ
Panthéon-Sorbonne University ⓘ
surface form: University of Paris

École Normale (Paris) ⓘ
surface form: École Normale Supérieure
familyName Cartan ⓘ
fieldOfWork Lie theory ⓘ
algebra ⓘ
differential geometry ⓘ
group theory ⓘ
mathematics ⓘ
representation theory ⓘ
theoretical physics ⓘ
theory of symmetric spaces ⓘ
givenName Élie ⓘ
hasChild Henri Cartan ⓘ
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 structure equations ⓘ
surface form: 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 Académie des Sciences ⓘ
surface form: French Academy of Sciences
name Élie Cartan self-link ⓘ
notableStudent André Weil ⓘ
Claude Chevalley ⓘ
Claude Chevalley ⓘ
surface form: Jean Dieudonné

Referenced by (29)

Full triples — surface form annotated when it differs from this entity's canonical label.

Janet–Cartan theorem → namedAfter → Élie Cartan ⓘ
Élie Cartan → name → Élie Cartan self-link ⓘ
Harish-Chandra → influencedBy → Élie Cartan ⓘ
Cartan structure equations → namedAfter → Élie Cartan ⓘ
Cartan → hasNotableBearer → Élie Cartan ⓘ
Cartan → father → Élie Cartan ⓘ
subject surface form: Henri Cartan
Cartan → father → Élie Cartan ⓘ
subject surface form: Jean Cartan
Cartan → father → Élie Cartan ⓘ
subject surface form: Hélène Cartan
Cartan → hasMember → Élie Cartan ⓘ
subject surface form: Cartan family
Dolomieu, Isère, France → hasNotablePerson → Élie Cartan ⓘ
subject surface form: Dolomieu
Cartan connections → namedAfter → Élie Cartan ⓘ
subject surface form: Cartan connection
Cartan connections → developedBy → Élie Cartan ⓘ
subject surface form: Cartan connection
Cartan subalgebras → namedAfter → Élie Cartan ⓘ
Cartan decomposition → namedAfter → Élie Cartan ⓘ
Claude Chevalley → doctoralAdvisor → Élie Cartan ⓘ
Claude Chevalley → influencedBy → Élie Cartan ⓘ
Lie pseudogroup → developedBy → Élie Cartan ⓘ
Marius → influenced → Élie Cartan ⓘ
subject surface form: Marius Sophus Lie
Henri Cartan → doctoralAdvisor → Élie Cartan ⓘ
Henri Cartan → father → Élie Cartan ⓘ
Henri Cartan → sibling → Élie Cartan ⓘ
this entity surface form: Louis Cartan
Élie → usedBy → Élie Cartan ⓘ
Élie → notablyBorneBy → Élie Cartan ⓘ
T. Y. Thomas → influencedBy → Élie Cartan ⓘ
Prix Bordin → notableRecipient → Élie Cartan ⓘ
Harish → influencedBy → Élie Cartan ⓘ
subject surface form: Harish-Chandra
William Vallance Douglas Hodge → influencedBy → Élie Cartan ⓘ
differential geometry → developedBy → Élie Cartan ⓘ
Hermann Grassmann → influenced → Élie Cartan ⓘ