Mathematician:Claude Chevalley

Mathematician

French mathematician who made important contributions to number theory, algebraic geometry, class field theory, finite group theory, and the theory of algebraic groups.

Founding member of the Bourbaki group.

Nationality

French

History

• Born: 11 February 1909 in Johannesberg, Transvaal, South Africa
• Died: 28 June 1984 in Paris, France

Theorems and Definitions

• Chevalley Group
• Chevalley Scheme
• Beck-Chevalley Condition (with Jon Beck)
• Chevalley's Theorem
• Chevalley-Warning Theorem (with Ewald Warning)
• Jordan-Chevalley Decomposition (with Camille Jordan)
• Chevalley-Iwahori-Nagata theorem (with Nagayoshi Iwahori and Masayoshi Nagata)

Publications

• 1933: Sur la théorie du corps de classes dans les corps finis et les corps locaux
• 1936: Démonstration d'une hypothèse de M. Artin (Abh. Math. Semin. Univ. Hambg. Vol. 11: pp. 73 – 75)
• 1936: L'Arithmetique dans les Algèbres de Matrices
• 1940: La théorie du corps de classes (Annals of Mathematics Vol. 41: pp. 394 – 418)
• 1946: Theory of Lie groups
• 1951: Theory of Distributions
• 1951: Théorie des groupes de Lie, tome II: Groupes algébriques
• 1951: Introduction to the theory of algebraic functions of one variable
• 1954: The algebraic theory of spinors
• 1953 -- 1954: Class field theory
• 1955: Théorie des groupes de Lie, tome III: Théorèmes généraux sur les algèbres de Lie
• 1955: Sur certains groupes simples (Tôhoku Mathematical Journal Vol. 7: pp. 14 – 66)
• 1955: The construction and study of certain important algebras
• 1956: Fundamental concepts of algebra
• 1956 -- 1958: Classification des groupes de Lie algébriques
• 1958: Fondements de la géométrie algébrique

Sources

• John J. O'Connor and Edmund F. Robertson: "Claude Chevalley": MacTutor History of Mathematics archive