Studies in Memory of Issai Schur

ISBN-13: 9780817642082 / Angielski / Twarda / 2002 / 369 str.

Anthony Joseph;Anna Melnikov;Rudolf Rentschler

Opis

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.

Recenzje

"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

Spis treści

Prefaces * 'In Memoriam - Issai Schur' * 'A Special Hour of Reminiscences' * 'Issai Schur Died Here: Some Background Comments, in Memoriam' * 'Some Personal Recollections' * 'Some Personal Reminisences of Issai Schur' * 'Schur's Influence of My Career' * 'A Story About Father' * 'Issai Schur and his Library in Tel Aviv' * 'The Life of Issai Schur through Letters and Other Documents' * 'Contributions of Issai Schur to Analysis' * 'Twisted Verma Modules' * 'Gamma-Sheaves on Reductive Groups' * 'Representations of Hecke Algebras and Characters of Symmetric Groups' * 'Dirac Cohomology for the Cubic Dirac Operator' * 'Double Crystal Graphs' * 'Induced Representations of Affine Hecke Algebras and Canonical Bases of Quantum Groups' * 'A Pieri-Chevalley Type Formula for K(G/B) and Standard Monomial Theory' * 'Constructible Functions on Varieties Attached to Quivers' * 'On the Endomorphism Algebra of the Steinberg Module' * 'Frobenius--Schur Functions' * 'A Generating Function for the Trace of the Iwahori--Hecke Algebra' * 'Quivers, Desingularizations and Canonical Bases' * 'Perverse Sheaves and Quantum Grothendieck Rings'