Studies in Memory of Issai Schur: 210 (Progress in Mathematics, 210) - Hardcover

Hardcover

ISBN 10: 0817642080 ISBN 13: 9780817642082

Publisher: Birkhäuser, 2002

Synopsis

This volume Studies in Memory of Issai Schur was conceived as a tribute to Schur's of his tragic end. His impact on great contributions to mathematics and in remembrance of mathematicians Representation Theory alone was so great that a significant number of Researchers (TMR) Network, in the European Community Training and Mobility Orbits, Crystals and Representation Theory, in operation during the period (1997-2002) have been occupied with what has been called Schur theory. Consequently, this volume has the additional purpose of recording some of the significant results of the network. It was furthermore appropriate that invited contributors should be amongst the speakers at the Paris Midterm Workshop of the network held at Chevaleret during 21-25 May, 2000 as well as those of the Schur Memoriam Workshop held at the Weizmann Institute, Rehovot, during 27-31 December 2000. The latter marked the sixtieth anniversary of Schur's passing and took place in the 125th year of his birth.

About this title

Review

"This book is dedicated to the memory of Issai Schur, one of the brilliant stars in mathematical heaven and an unsurpassed teacher.  It is divided into two parts.  In the first one among others reminiscences from students and members of Schurs family are presented, followed by a biographical sketch through letters and other documents and an extensive review of his lesser known contributions to analysis. The second part contains 13 contributions to representation theory. Schur proper field of research. . . Many of these articles are inspired by Schurs work showing how fertile his ideas are even [for] today."

---Monatshefte für Mathematik

Synopsis

Many techniques in representation theory and algebra have been inspired by the great works of Issai Schur who passed away some 60 years ago. This volume is dedicated to his memory. This unified presentation consists of an extended biography of Schur - written in collaboration with some of his former students - as well as survey articles on Schur's legacy (Schur theory, functions, etc). Additionally, there are 25 articles covering a broad range of topics with extensions of representation. The representation theory of the symmetric group, of Chevalley groups particularly in positive characteristic and of Lie algebraic systems, has undergone some remarkable developments in recent years. Many techniques are inspired by the great works of Issai Schur who passed away some 60 years ago. This volume is dedicated to his memory. This is a unified presentation consisting of an extended biography of Schur - written in collaboration with some of his former students - as well as survey articles on Schur's legacy (Schur theory, functions, etc).

Additionally, there are articles covering the areas of orbits, crystals and representation theory, with special emphasis on canonical bases and their crystal limits, and on the geometric approach linking orbits to representations and Hecke algebra techniques. Extensions of representation theory to mathematical physics and geometry will also be presented.

Edition details

• Publisher: Birkhäuser
• Publication date: 2002
• Language: English
• ISBN 10: 0817642080
• ISBN 13: 9780817642082
• Binding: Hardcover
• Number of pages: 369
• Editor: Joseph Anthony, Melnikov Anna, Rentschler Rudolf