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Issai Schur
Schur Issai
(10.01.1875 – 10.01.1941)
Mathematician, one of the creators of the representation theory of groups; founder of scientific school of mathematics
Issai Schur was born in Mogilev. He finished a gymnasium in Liepaja (Latvia). In 1901 he graduated from the University of Berlin with a degree of Doctor of Philosophy, where he worked in 1903–1911 and 1916–1935 (since 1916 he was a Professor, since 1919 he was the Head of chair). He was a Professor of Bonn University in 1911–1916. In 1939 Schur emigrated to Palestine. Issai Schur wrote scientific studies on the theory of groups, the theory of matrices, Riemannian manifolds, algebraic and integral equations, the theory of numbers, the theory of functions. He explored the rational representation of the general linear group over the field of complex numbers (1901); he introduced the concept of the multiplier of a group (1904). Schur established a lemma on the intertwining operator for finite-dimensional irreducible representations of groups and algebras (Schur's lemma, 1906). He proved the theorems of the unitary triangularization of matrices (1910), of constant curvature space, of the existence of commutative subalgebra, of the full matrix algebra, of solving the problem of the coefficients for limitable analytical functions (1917) and others that have his name. Issai Schur was a member of the Prussian Academy of Sciences (1922–1938), and a Corresponding Member of USSR Academy of Sciences (1929). He died in Tel-Aviv (Israel).
Works:
1. Gesammelte Abhandlungen. Bd. 1–3. Berlin; Heidelberg; New York, 1973.
Literature:
1. Martin S. Schur algebras and representation theory Cambridge, 1993.
2. Curtis Ch. W. Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Braur. Providence, 1999.
3. Studies in Memory of Issai Schur. Birkhauser, 2002.
© National Academy of Sciences of Belarus, 2011
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