Richard Dagobert Brauer was a leading German and American mathematician.
19 Facts About Richard Brauer
2.
Richard Brauer worked mainly in abstract algebra, but made important contributions to number theory.
3.
Issai Schur conducted a seminar and posed a problem in 1921 that Alfred and Richard worked on together, and published a result.
4.
Richard Brauer wrote his thesis under Schur, providing an algebraic approach to irreducible, continuous, finite-dimensional representations of real orthogonal groups.
5.
Ilse Karger studied mathematics at the University of Berlin; she and Richard Brauer were married 17 September 1925.
6.
Richard Brauer began his teaching career in Konigsberg working as Konrad Knopp's assistant.
7.
Richard Brauer expounded central division algebras over a perfect field while in Konigsberg; the isomorphism classes of such algebras form the elements of the Richard Brauer group he introduced.
8.
Richard Brauer was offered an assistant professorship at University of Kentucky.
9.
Richard Brauer accepted the offer, and by the end of 1933 he was in Lexington, Kentucky, teaching in English.
10.
Hermann Weyl invited Richard Brauer to assist him at Princeton's Institute for Advanced Study in 1934.
11.
Richard Brauer conducted international research with Tadasi Nakayama on representations of algebras.
12.
In 1948, Brauer moved to Ann Arbor, Michigan where he and Robert M Thrall contributed to the program in modern algebra at University of Michigan.
13.
In 1952, Richard Brauer joined the faculty of Harvard University and retired in 1971.
14.
Richard Brauer's students included Donald John Lewis, Donald Passman, and I Martin Isaacs.
15.
Richard Brauer was elected to the American Academy of Arts and Sciences in 1954, the United States National Academy of Sciences in 1955, and the American Philosophical Society in 1974.
16.
Richard Brauer applied modular representation theory to obtain subtle information about group characters, particularly via his three main theorems.
17.
The Richard Brauer tree is a combinatorial object associated to a block with cyclic defect group which encodes much information about the structure of the block.
18.
Nevertheless, Richard Brauer kept his manuscript through the 1940s, 1950s, and 1960s, and in 1979 it was published by Okayama University in Japan.
19.
Unlike the articles by Study and Cartan, which were exploratory, Richard Brauer's article reads as a modern abstract algebra text with its universal coverage.