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.
Contributors: Biography: W. Ledermann, B. Neumann, P.M. Neumann, H.
Abelin- Schur; Review of work: H. Dym, V. Katznelson; 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, M. Reinek, J.-Y.
Thibon, G. Olshanski, E. Opdam, A. Regev, C.S. Seshadri, M.
Varagnolo, E. Vasserot, A. Vershik This volume will serve as a
comprehensive reference as well as a good text for graduate
seminars in representation theory, algebra, and mathematical
physics.
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