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This volume is dedicated to the memory of Issai Schur. It opens with some biographical reminiscences of the famous school he established in Berlin, his brutal dismissal by the Nazi regime and his tragic end in Palestine. This is followed by an extensive review of the extraordinary impact of his lesser known analytic work. Finally, leading mathematicians in the representation theory of the symmetric groups, of semisimple and affine Lie algebras and of Chevalley groups have contributed original and outstanding articles. These concern many areas inspired by Schur's work as well as more recent developments involving crystal and canonical bases, Hecke algebras, and the geometric approach linking orbits to representations.

Contributors: Biography: H. Abelin-Schur, W. Ledermann, Y. Ne'eman, B. Neumann, P.M. Neumann, M. Sonis; Review: H. Dym, V. Katsnelson; Original papers: H.H. Andersen, A. Braverman, S. Donkin, V. Ivanov, D. Kazhdan, B. Kostant, A. Lascoux, N. Lauritzen, B. Leclerc, P. Littelmann, G. Luzstig, O. Mathieu, M. Nazarov, G. Olshanski, E. Opdam, A. Regev, M. Reineke, C.S. Seshadri, J.-Y. Thibon, M. Varagnolo, E. Vasserot, A. Vershik.

The first part of this book will appeal to a general audience. The second part will be of interest to graduate students especially those in analysis, while the third part is addressed to specialists in Lie algebras. ... Read more

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This Book Is In German. ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Chapters: Issai Schur, Alesia Graf, Reuben Brainin, Andrei Tivontchik, Andrej Klimovets, Anton Kavalewski, Cioma Schönhaus. Source: Wikipedia. Pages: 24. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Issai Schur (January 10, 1875 in Mogilev January 10, 1941 in Tel Aviv) was a mathematician who worked in Germany for most of his life. He studied at Berlin. He obtained his doctorate in 1901, became lecturer in 1903 and, after a stay at Bonn, professor in 1919. He considered himself German rather than Jewish, even though he had been born in the Russian Empire in what is now Belarus, and brought up partly in Latvia. For this reason he declined invitations to leave Germany for the United States and Britain in 1934. Nevertheless he was dismissed from his chair in 1935 and, at the instigation of Ludwig Bieberbach (who had previously sympathised with Schur regarding his treatment at the hands of the Nazis), he was forced to resign from the Prussian Academy in 1938. Schur eventually emigrated to Palestine in 1939, and lived his final years in poverty. He died in Tel Aviv on his 66th birthday. As a student of 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. 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). Schur had a number of students, including Richard Brauer, B. H. Neumann, Heinz Prüfer, and Richard Rado. He was a foreign member of the Russian Academy of Sciences from 1929. Schur published under the name of both I. Schur, and J. Schur, the latter especially in Journal für die reine und angewandte Mathematik. This has led to some confusion . ...More: http://booksllc.net/?id=617522 ... Read more

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This Book Is In German. ... Read more

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High Quality Content by WIKIPEDIA articles! In mathematics, more specifically in group theory, the Schur multiplier is an important invariant of a finite group that has applications in many areas of mathematics. The Schur multiplier is sometimes called the multiplicator and is named after Issai Schur. It is often defined as the second homology group of a group G with coefficients in the integers.For instance, the Schur multiplier of the nonabelian group of order 6 is the trivial group since every Sylow subgroup is cyclic. The Schur multiplier of the elementary abelian group of order 16 is an elementary abelian group of order 64, showing that the multiplier can be strictly larger than the group itself. The Schur multiplier of the quaternion group is trivial, but the Schur multiplier of dihedral 2-groups has order 2. ... Read more