CONTENTS vii
Constructive invariant theory
DAVID L. WEHLAU 377
Part 2. Algebraic groups and their generalizations: Quantum and
infinite-dimensional methods
§1. The general theory of quantum groups
Finite dimensional representations of quantum groups
HENNING HAAHR ANDERSEN 1
An introduction to quantum groups
PIERRE CARTIER 19
Examples of compact matrix pseudogroups arising from Drinfel'd's
twisting operation
BENJAMIN ENRIQUEZ 43
Face algebras and their Drinfeld doubles
TAKAHIRO HAYASHI 49
Representation theory for quantized enveloping algebras
GAIL LETZTER 63
Rational representations of Hopf algebras
ZONGZHU LIN 81
Filtrations of modules over the quantum algebra
JAN PARADOWSKI 93
Quantum groups as invariance groups
A. SUDBERY 109
The quantum hyperalgebra of SLq{2)
MITSUHIRO TAKEUCHI 121
§2. Crystal bases
IC bases and quantum linear groups
J I E D U 135
Bases for quantum Demazure modules. II
V. LAKSHMIBAI 149
Problems on canonical bases
G. LUSZTIG 169
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