Issai Schur was a Russian mathematician, born on 10 January 1875 and died on 10 January 1941, who worked in Germany for most of his life. He studied at the University of Berlin, obtained his doctorate in 1901, became lecturer in 1903 and, after a stay at the University of Bonn, professor in 1919. A student of Ferdinand Georg Frobenius, he worked on group representations, the subject with which he is most closely associated, and also on combinatorics and number theory. He is best known today for the Schur decomposition and for Schur's lemma.
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Issai Schur
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Source Schur Complement (Wikipedia)
Source Schur Decomposition (Wikipedia)
Source Schur Polynomial (Wikipedia)
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Source Issai Schur (Wikipedia)
Source Issai Schur (Wikipedia)
Source Issai Schur (Wikipedia)
Mentored
Source Alfred Theodor Brauer (MacTutor)
Source Arnold Scholz (Wikipedia)
Source Richard Brauer (Wikipedia)
Source MacTutor History of Mathematics: Richard Rado (MacTutor)
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Source Issai Schur (Wikipedia)
Principal Result
Source Issai Schur (Wikipedia)
Source Issai Schur (Wikipedia)
Proofs Credited
Source Schur's Lemma (Representation Theory) (Wikipedia)
Source Schur's Theorem (Ramsey Theory) (Wikipedia)
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Also in Geography Atlas: the nationality of this subject.
Source Issai Schur (Wikipedia)Lead paragraph [nationality-culture]Quote, Lead paragraph [nationality-culture]
was a Russian mathematician
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1. Issai Schur (Wikipedia)
Lead paragraph
He studied at the University of Berlin
Lead paragraph [nationality-culture]
was a Russian mathematician
Principal Result: Schur's Lemma (Representation Theory), Article text
He is perhaps best known today for his result on the existence of the Schur decomposition and for his work on group representations (Schur's lemma).
Principal Result: Schur Decomposition, Article text
He is perhaps best known today for his result on the existence of the Schur decomposition and for his work on group representations (Schur's lemma).
In Branch: Representation Theory, Lead paragraph [in-branch]
group representations
In Branch: Combinatorics, Lead paragraph [in-branch 2]
combinatorics
In Branch: Number Theory, Lead paragraph [in-branch 3]
number theory
Mentored By: Ferdinand Georg Frobenius, Infobox, doctoral advisor or academic advisors
As a student of Ferdinand Georg Frobenius, he worked on group representations (the subject with which he is most closely associated), but also in combinatorics and number theory and even theoretical physics.
View the SourceArnold Scholz (Wikipedia)
Mentored: Arnold Scholz, LifeQuote, Mentored: Arnold Scholz, Life
his dissertation, supervised by Issai Schur
Alfred Theodor Brauer (MacTutor)
Mentored: Alfred Brauer, Biography, dissertationQuote, Mentored: Alfred Brauer, Biography, dissertation
dissertation, written under Schur 's guidance at the University of Berlin
Richard Brauer (Wikipedia)
Mentored: Richard Brauer, Education and careerQuote, Mentored: Richard Brauer, Education and career
Richard wrote his thesis under Schur
MacTutor History of Mathematics: Richard Rado (MacTutor)
MacTutor History of MathematicsMentored: Richard Rado, Biography, Berlin doctorateQuote, Mentored: Richard Rado, Biography, Berlin doctorate
returned to the University of Berlin to study for his doctorate under Schur
Schur Complement (Wikipedia)
Attributed Works: Schur Complement, Lead paragraphQuote, Attributed Works: Schur Complement, Lead paragraph
The Schur complement is a key tool in the fields of linear algebra, the theory of matrices, numerical analysis, and statistics.
Schur Decomposition (Wikipedia)
Attributed Works: Schur Decomposition, Lead paragraphQuote, Attributed Works: Schur Decomposition, Lead paragraph
In linear algebra, the Schur decomposition or Schur triangulation, named after Issai Schur, is a matrix decomposition. It allows one to write an arbitrary
Schur Polynomial (Wikipedia)
Attributed Works: Schur Polynomial, Lead paragraphQuote, Attributed Works: Schur Polynomial, Lead paragraph
In mathematics, Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize
Schur's Theorem (Ramsey Theory) (Wikipedia)
Wikimedia FoundationProofs Credited: Schur's Theorem (Ramsey Theory), Lead paragraphQuote, Proofs Credited: Schur's Theorem (Ramsey Theory), Lead paragraph
In discrete mathematics, Schur's theorem is any of several theorems of the mathematician Issai Schur. In differential geometry, Schur's theorem is a theorem
Schur's Lemma (Representation Theory) (Wikipedia)
Wikimedia FoundationProofs Credited: Schur's Lemma (Representation Theory), HistoryQuote, Proofs Credited: Schur's Lemma (Representation Theory), History
The lemma is named after Issai Schur who used it to prove the Schur orthogonality relations and develop the basics of the representation theory of finite groups.
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