Algebraic Groups. Utrecht 1986

1. Front Matter

   Pages I-IX

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2. A vanishing theorem in relative Lie algebra cohomology

   • Armand Borel

   Pages 1-16

3. Nilpotent orbits, primitive ideals, and characteristic classes

   • Walter Borho

   Pages 17-32

4. Some examples of hochschild and cyclic homology

   • Jean-Luc Brylinski

   Pages 33-72

5. On the topology of algebraic torus actions

   • M. Goresky, R. MacPherson

   Pages 73-90

6. Restricted lie algebra cohomology

   • J. C. Jantzen

   Pages 91-108

7. On geometric invariant theory for infinite-dimensional groups

   • Victor G. Kac, Dale H. Peterson

   Pages 109-142

8. Etale local structure of matrix invariants and concomitants

   • Lieven Le Bruyn, Claudio Procesi

   Pages 143-175

9. Fourier transforms on a semisimple Lie algebra over Fq

   • George Lusztig

   Pages 177-188

10. Commuting differential operators and zonal spherical functions

    • I. G. Macdonald

    Pages 189-200

11. Some surfaces covered by the ball and a problem in finite groups

    • G. D. Mostow, Stephen S. T. Yau

    Pages 201-228

12. Invariant theory and kloosterman sums

    • I. Piatetski-Shapiro

    Pages 229-236

13. On actions of \(\mathbb{G}_a\) on \(\mathbb{A}^n\)

    • V. L. Popov

    Pages 237-242

14. Normality of G-stable subvarieties of a semisimple Lie algebra

    • R. W. Richardson

    Pages 243-264

15. Unipotent elements and parabolic subgroups of reductive groups. II

    • Jacques Tits

    Pages 265-284

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.

• Lie algebra
• algebra
• algebraic group
• cohomology
• finite group
• group action
• invariant theory
• lie group

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