Algebraic Groups Utrecht 1986: Proceedings of a Symposium in Honour of T.A. Springer

Armand Borel (auth.), Arjeh M. Cohen, Wim H. Hesselink, Wilberd L. J. van der Kallen, Jan R. Strooker (eds.)9780387182346, 0-387-18234-9

From 1-4 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide and central areas of mathematics. Though the fourteen papers in this volume are mostly original research contributions, some survey articles are included. Centering on the Symposium subject, such diverse topics are covered as Discrete Subgroups of Lie Groups, Invariant Theory, D-modules, Lie Algebras, Special Functions, Group Actions on Varieties.

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Table of contents :
A vanishing theorem in relative Lie algebra cohomology….Pages 1-16
Nilpotent orbits, primitive ideals, and characteristic classes….Pages 17-32
Some examples of hochschild and cyclic homology….Pages 33-72
On the topology of algebraic torus actions….Pages 73-90
Restricted lie algebra cohomology….Pages 91-108
On geometric invariant theory for infinite-dimensional groups….Pages 109-142
Etale local structure of matrix invariants and concomitants….Pages 143-175
Fourier transforms on a semisimple Lie algebra over F q ….Pages 177-188
Commuting differential operators and zonal spherical functions….Pages 189-200
Some surfaces covered by the ball and a problem in finite groups….Pages 201-228
Invariant theory and kloosterman sums….Pages 229-236
On actions of $$mathbb{G}_a$$ on $$mathbb{A}^n$$ ….Pages 237-242
Normality of G-stable subvarieties of a semisimple Lie algebra….Pages 243-264
Unipotent elements and parabolic subgroups of reductive groups. II….Pages 265-284