Richard Brauer
| Richard Brauer | |
|---|---|
Richard and Ilse Brauer in 1970
Photo courtesy MFO |
|
| Born | February 10, 1901 Charlottenburg, German Empire |
| Died |
April 17, 1977 (aged 76) Belmont, Massachusetts, U.S. |
| Residence | Germany, U.S. |
| Nationality | German, U.S. |
| Fields | Scientist, mathematician |
| Institutions | University of Toronto, University of Michigan, Harvard University |
| Alma mater | University of Berlin (Ph.D., 1926) |
| Thesis | Über die Darstellung der Drehungsgruppe durch Gruppen linearer Substitutionen (1926) |
| Doctoral advisor |
Issai Schur Erhard Schmidt |
| Doctoral students |
R. H. Bruck S. A. Jennings Peter Landrock D. J. Lewis J. Carson Mark Cecil J. Nesbitt Robert Steinberg |
| Known for | Brauer's theorem on induced characters |
| Notable awards |
Cole Prize in Algebra (1949) National Medal of Science (1970) |
Richard Dagobert Brauer (February 10, 1901 – April 17, 1977) was a leading German and American mathematician. He worked mainly in abstract algebra, but made important contributions to number theory. He was the founder of modular representation theory.
Alfred Brauer was Richard's brother and seven years older. Alfred and Richard were both interested in science and mathematics, but Alfred was injured in combat in World War I. As a boy, Richard dreamt of becoming an inventor, and in February 1919 enrolled in Technische Hochschule Berlin-Charlottenburg. He soon transferred to University of Berlin. Except for the summer of 1920 when he studied at University of Freiburg, he studied in Berlin, being awarded his Ph.D. on 16 March 1926. Issai Schur conducted a seminar and posed a problem in 1921 that Alfred and Richard worked on together, and published a result. The problem also was solved by Heinz Hopf at the same time. Richard wrote his thesis under Schur, providing an algebraic approach to irreducible, continuous, finite-dimensional representations of real orthogonal (rotation) groups.
Ilse Karger also studied mathematics at the University of Berlin; she and Richard were married 17 September 1925. Their sons George Ulrich (b 1927) and Fred Gunther (b 1932) also became mathematicians. Brauer began his teaching career in Königsberg (now Kaliningrad) working as Konrad Knopp’s assistant. Brauer expounded central division algebras over a perfect field while in Königsberg; the isomorphism classes of such algebras form the elements of the Brauer group he introduced.
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