Algebraic Groups

Arjeh M. Cohen, Wim H. Hesselink, Wilberd L.J. van der Kallen, Jan R. Strooker3540182349, 9783540182344

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 :
front-matter……Page 1
1A vanishing theorem in relative Lie algebra cohomology……Page 8
2Nilpotent orbits, primitive ideals, and characteristic classes……Page 24
3Some examples of hochschild and cyclic homology……Page 40
4On the topology of algebraic torus actions……Page 80
5Restricted lie algebra cohomology……Page 98
6On geometric invariant theory for infinite-dimensional groups……Page 116
7Etale local structure of matrix invariants and concomitants……Page 150
8Fourier transforms on a semisimple Lie algebra over Fq……Page 183
9Commuting differential operators and zonal spherical functions……Page 195
10Some surfaces covered by the ball and a problem in finite groups……Page 207
11Invariant theory and kloosterman sums……Page 235
12On actions of……Page 243
13Normality of G-stable subvarieties of a semisimple Lie algebra……Page 249
14Unipotent elements and parabolic subgroups of reductive groups. II……Page 271