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Jewish Canadian mathematician
Robert Steinberg (May 25, 1922,
Soroca ,
Bessarabia ,
Romania (present-day
Moldova ) – May 25, 2014
[1] ) was a mathematician at the
University of California, Los Angeles .
He introduced the
Steinberg representation , the
Lang–Steinberg theorem , the
Steinberg group in
algebraic K-theory ,
Steinberg's formula in representation theory, and the
Steinberg groups in
Lie theory that yield
finite simple groups over
finite fields .
Biography
Born in
Soroca (then in the
Kingdom of Romania , today in
Moldova ), Steinberg's parents settled in
Canada very soon after his birth.
Steinberg studied under
Richard Brauer and he received his
Ph.D. in
mathematics from the
University of Toronto in 1948. Steinberg joined the Mathematics Department at
UCLA the same year. He retired from UCLA in 1992.
Awards
Steinberg was an
invited speaker at the
International Congress of Mathematicians in 1966, won the
Steele Prize in 1985, was elected to the
United States National Academy of Sciences in 1985, and won the
Jeffery–Williams Prize in 1990. In 2003, the
Journal of Algebra published a special issue to celebrate Robert Steinberg's 80th birthday.
I have had a good life.
– Robert Steinberg
Selected publications
Steinberg, R. (1951).
"A geometric approach to the representations of the full linear group over a Galois field" .
Transactions of the American Mathematical Society . 71 (2): 274–282.
doi :
10.1090/s0002-9947-1951-0043784-0 .
MR
0043784 .
Steinberg, Robert (1959).
"Finite reflection groups" .
Transactions of the American Mathematical Society . 91 (3): 493–504.
doi :
10.1090/s0002-9947-1959-0106428-2 .
MR
0106428 .
Steinberg, Robert (1961).
"A general Clebsch–Gordan theorem" .
Bulletin of the American Mathematical Society . 67 (4): 406–407.
doi :
10.1090/s0002-9904-1961-10644-7 .
MR
0126508 .
Steinberg, Robert (1962).
"Complete sets of representations of algebras" .
Proceedings of the American Mathematical Society . 13 (5): 746–747.
doi :
10.1090/s0002-9939-1962-0141710-x .
MR
0141710 .
Steinberg, Robert (1962).
"A closure property of sets of vectors" .
Transactions of the American Mathematical Society . 105 : 118–125.
doi :
10.1090/s0002-9947-1962-0165040-x .
MR
0165040 .
Steinberg, Robert (1962). "Générateurs, relations et revêtements de groupes algébriques". Colloq. Théorie des Groupes Algébriques (in French). Bruxelles: Gauthier-Villars: 113–127.
MR
0153677 .
Zbl
0272.20036 .
"Differential equations invariant under finite reflections" .
Transactions of the American Mathematical Society . 112 : 392–400. 1964.
doi :
10.1090/s0002-9947-1964-0167535-3 .
MR
0167535 .
Steinberg, Robert (2017) [1968],
Lectures on Chevalley groups , University Lecture Series, vol. 66, American Mathematical Society,
ISBN
978-1-4704-3105-1 ,
MR
0466335
Steinberg, Robert (1974), Conjugacy classes in algebraic groups , Lecture Notes in Mathematics, vol. 366, Berlin-New York: Springer-Verlag,
doi :
10.1007/BFb0067854 ,
ISBN
978-3-540-06657-6 ,
MR
0352279
[2]
Steinberg, Robert (1988). "An occurrence of the Robinson–Schensted correspondence".
Journal of Algebra . 113 (2): 523–528.
doi :
10.1016/0021-8693(88)90177-9 .
R. Steinberg,
Collected Papers , Amer. Math. Soc. (1997),
ISBN
0-8218-0576-2 .
References
External links
International National Academics People Other