Alfred Clifford

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Alfred "Al" Hoblitzelle Clifford (born July 11, 1908 in St. Louis , † December 27, 1992 ) was an American mathematician who mainly dealt with semigroups .

Clifford grew up in California and studied mathematics at Yale University with a bachelor's degree in 1929. He received his doctorate in 1933 with Eric Temple Bell at Caltech with a dissertation on arithmetic and ideal theory of abstract multiplication ( Arithmetic of Ova ). He then spent five years at the Institute for Advanced Study , from 1936 to 1938 as assistant to Hermann Weyl , whom he helped with the publication of The Classical Groups . During this time he mainly dealt with group theory. In 1938 he became an instructor and in 1941 an assistant professor at the Massachusetts Institute of Technology . In 1941 there was an important and influential work on semigroups. After military service as an officer in World War II (in Europe and Washington, during which time he published nothing) he taught as an associate professor at Johns Hopkins University , which was interrupted by military service in the Korean War from 1950 to 1953. From 1955 he was a professor at Tulane University . In retirement, he lived in California again.

He was invited speaker at the International Congress of Mathematicians in 1950 and 1974. He received an honorary doctorate from Tulane University in 1982.

He was a talented pianist who also composed.

Fonts

  • Semigroups with relative inverses, Annals of Mathematics, Volume 42, 1941, pp. 385-406
  • with Gordon Bamford Preston : The algebraic theory of semigroups, 2 volumes, American Mathematical Society 1961, 1967

Web links

Individual evidence

  1. Published in expanded form as Arithmetic and ideal theory of abstract multiplication , Bulletin AMS, Volume 40, 1934, pp. 326-330, and Arithmetic and ideal theory of commutative semigroups , Annals of Mathematics, Volume 39, 1938, pp. 594– 610
  2. Clifford, Representations induced in an invariant subgroup, Annals of Mathematics, Volume 38, 1937, pp. 533-550 (induced by an irreducible representation of the group)