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Élie Cartan

AKA Élie Joseph Cartan

Born: 9-Apr-1869
Birthplace: Dolomieu, France
Died: 6-May-1951
Location of death: Paris, France
Cause of death: unspecified

Gender: Male
Race or Ethnicity: White
Sexual orientation: Straight
Occupation: Mathematician, Physicist

Nationality: France
Executive summary: Spinor groups

French mathematician �lie Cartan was noted for his work on differentiable manifolds, his discovery of spinor groups as exponentials of the orthogonal algebras, and his development of a system of calculus called exterior differential forms. He corresponded with Albert Einstein about general relativity, and his son was the mathematician Henri Cartan.

Father: Joseph Cartan (blacksmith)
Mother: Anne Cottaz
Wife: Marie-Louise Bianconi (m. 1903)
Son: Henri Cartan (mathematician, b. 1904, d. 2008)
Son: Jean Cartan (composer, b. 1906, d. 1931)
Son: Louis Cartan (French Resistance, d. 1943 World War II)

    High School: Lycée Jeanson-de-Sailly, Grenoble, France (1888)
    University: DSc Mathematics, École Normale Supérieure, Paris, France (1894)
    Teacher: Mathematics, University of Montpellier (1894-96)
    Teacher: Mathematics, University of Lyon (1896-1903)
    Professor: Mathematics, University of Nancy (1903-09)
    Teacher: Mathematics, Sorbonne (1909-12)
    Professor: Calculus, Sorbonne (1912-20)
    Professor: Rational Mechanics, Sorbonne (1920-24)
    Professor: Geometry, Sorbonne (1924-40)

    French Academy of Sciences
    London Mathematical Society Honorary Member
    Royal Society
    Lunar Crater Cartan (4.2� N, 59.3� E, 16 km)
    French Ancestry

Author of books:
La G�om�trie des Espaces de Riemann (The Geometry of Riemann Spaces) (1925)
La Th�orie des Groupes Continus et des Espaces G�n�ralis�s (The Theory of Continuous Groups and Generalized Spaces) (1935)
Elie Cartan-Albert Einstein: Letters on Absolute Parallelism, 1929-1932 (1979, posthumous, with Albert Einstein)


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