Mathematician:Issai Schur

Mathematician

Jewish mathematician of Russian descent working mainly in group theory and combinatorics.

Worked most of his life in Germany, then emigrated to Palestine in 1939 as a result of political persecution, and died a pauper.

Nationality

Russian

History

• Born: January 10, 1875, Mogilev, Belarus
• Died: January 10, 1941, Tel Aviv, Palestine (now Israel)

Theorems and Definitions

• Schur Complement
• Schur Index
• Schur Indicator (otherwise known as Frobenius-Schur Indicator, with Ferdinand Georg Frobenius)
• Schur Multiplier
• Schur Orthogonality Relations
• Schur Polynomial
• Skew Schur Function
• Schur Test
• Schur's Inequality
• Schur's Theorem (Ramsey Theory)
• Schur-Convex Function
• Schur-Concave Function
• Lehmer-Schur Algorithm (with Derrick Henry Lehmer)
• Schur's Property for Normed Spaces
• Jordan-Schur Theorem (with Camille Jordan)
• Schur's Lemma (Representation Theory)
• Schur's Lemma (Riemannian Geometry)
• Schur-Zassenhaus Theorem (with Hans Zassenhaus)
• Schur Product (also known as the Hadamard Product)

Results named for Issai Schur can be found here.

Definitions of concepts named for Issai Schur can be found here.

Publications

• 1904: Über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen
• 1905: Neue Begründung der Theorie der Gruppencharaktere
• 1907: Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen
• 1911: Bemerkungen zur Theorie der Beschränkten Bilinearformen mit unendlich vielen Veränderlichen
• 1918: Co-founder of Mathematische Zeitschrift, with Konrad Knopp and Erhard Schmidt
• 1921: Über lineare Transformationen in der Theorie der unendlichen Reihen
• 1968: Vorlesungen über Invariantentheorie, Die Grundlehren der mathematischen Wissenschaften (as editor) (with Helmut Grunsky)

Sources

• John J. O'Connor and Edmund F. Robertson: "Issai Schur": MacTutor History of Mathematics archive