Richard Brauer
From Wikipedia, the free encyclopedia
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.
Several theorems bear his name, most notably Brauer's theorem on induced characters, Brauer's characterization of characters, and Brauer's three main theorems, as well as Brauer induction with regards the Green ring, the Brauer tree of a block with a cyclic defect group, the Brauer-Suzuki theorem, the classification of groups with quasidihedral or wreathed Sylow 2-subgroups, known as the Alperin-Brauer-Gorenstein theorem, the Brauer-Suzuki-Wall theorem, and notably Brauer characters.
[edit] See also
- Brauer algebra, also called central simple algebra
- Brauer group, the equivalence classes of brauer algebras over the same field F equipped with a group operation
- Brauer-Nesbitt theorem
- Brauer-Manin obstruction
- Brauer-Siegel theorem
- Brauer's theorem
- Brauer's theorem on induced characters
- Brauer lifting
[edit] References
- Curtis, C.W. (1999). Pioneers of representation theory: Frobenius, Burnside, Schur, and Brauer. American Mathematical Society and London Mathematical Society. ISBN 0-8218-9002-6.
[edit] External links
- O'Connor, John J., and Edmund F. Robertson. "Richard Brauer". MacTutor History of Mathematics archive.
- Richard Brauer at the Mathematics Genealogy Project
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