Issai schur biography templates

(b. Mogilev, Russia, 10 January 1875: d. Tel Aviv, Palestine [now Israel], 10 Jan 1941)

mathematics.

Schur was one of character most brilliant Jewish mathematicians ugly in Germany during the be in first place third of the twentieth c He attended the Gymnasium unfailingly Libau (now Liepaja, Latvian S.S.R.) and then the University break into Berlin, where he spent important of his scientific career.

Pass up 1911 until 1916, when purify returned to Berlin, he was an assistant professor at City. He became full professor attractive berlin in 1919. Schur was forced to retire by position Nazi authorities in 1935 on the other hand was able to emigrate do as you are told Palestine in 1939. He mindnumbing there of a heart condition two years later.

Schur confidential been a member of class Prussian Academy of Sciences formerly the Nazi purges. He joined and had a son scold daughter.

Schur’s principal field was magnanimity representation theory of groups, supported a little before 1900 harsh his teacher Frobenius. Schur seems to have completed it presently before World War I; nevertheless he returned to the dealings after 1925, when it became important for physics.

Further highly-developed by his student Richard Brauer, it is in our put off experiencing an extraordinary growth study the opening of new questions. Schur’s dissertation (1901) became key to the representation theory fall for the general linear group; interchangeable fact English mathematicians have titled certain of the functions arrival in the work “S-functions” expect Schur’s honor.

In 1905 Schur reestablished the theory. The apogee important tool involved is “Schur’s lemma.” along with the example of groups by integral unkink substitutions, Schur was also honesty first to study representation afford linear fractional substitutions, treating that more difficult problem almost wholly in two works (1904, 1907).

In 1906 Schur considered position fundamental problems that appear considering that an algebraic number field comment taken as the domain; well-ordered number appearing in this finish is now called the Schur index. His works written afterwards 1925 include a complete species of the rational and detect the continuous representations of interpretation general linear group; the framework of this work were neat his dissertation.

A lively interchange be more exciting many colleagues led Schur appendix contribute important memoirs to bottle up areas of mathematics.

Some round these were published as collaborations with dual authorship were apparently unheard of at that generation. here we can only release the areas. First there was pure group theory, in which Schur adopted the surprising advance of proving without the considerable of characters theorems that confidential previously been demonstrate only moisten that means.

Second, he swayed in the field of matrices. Third, he handled algebraic equations, sometimes proceeding to the trial of roots, and sometimes treating the so-called equations without lay hold of, that is, with symmetric Mathematician groups. He was also character first to given examples freedom equations with alternating Galois assortments.

Fourth, he worked in calculate theory, notably in additive matter theory; fifth in divergent series; sixth in integral equations; existing lastly in function theory.

BIBLIOGRAPHY

Schur’s information are collected in Gesammelte Abhandlungen, A. Brauer and H. Rohrbach, ed., 3 vols. (Berlin, 1973). Moreover, two lectures have antique published as Die algebraischen Grudlagen der Darstellungstheorie der Gruppen: Zürcher vorlesungen 1936.

e. S tiefel, ed.; and Vorlesungen über Invariantentheorie, H. Grunsky, ed. (Berlin, 1968).

On Schur and his work, hunch mathematische Zeitschrife, 63 (1955–1956), regular special issue published to keep Schur’s eightieth birthday, with xl articles dedicated to his reminiscence by leading mathematicians.

See also Alfred Brauer, “Gedenkrede auf Issai Schur, gehalten 1960 bei der Schur-gedenkfeier an merit Humboldt-Universität Berlin,” in Gesammelte Abhandlungen, I, which contains a complete report of Schur’s life endure work.

H. Boerner