V I

CONTENTS

§4. Algebraic groups, general theory

Real algebraic quotients

RALPH J. BREMIGAN 195

Frobenius splitting of spherical varieties

M. BRION AND S. P. INAMDAR 207

Generalized Kloosterman sums

ROMUALD D^BROWSKI 219

Symmetric Avarieties

A. G. HELMINCK 233

Identities for prounipotent groups

A N D Y R . MAGI D 281

On the structure of nonreduced parabolic subgroup-schemes

CHRISTIAN WENZEL 291

§5. Representations

Weight modules without highest weight

A. J. COLEMAN 299

Extremal composition factors for groups of Lie type

J. E. HUMPHREYS 303

Relative invariants of the polynomial rings over the finite and

tame type quivers

KOIKE KAZUHIKO 311

§6. Invariant theory

Hilbert series for modules of covariants

BRAM BROER 321

The first fundamental theorem of invariant theory and spherical

subgroups

ROGER E. HOWE 333

Algebraic families of 6(2)-actions on affine space

C4

MIKIYA MASUDA AND T E D PETRIE 347

Algebraic equivariant vector bundles and the linearity problem

LUCY MOSER-JAUSLIN 355

Equivariant matrix valued functions

GEORGE F. SEELINGER

365