CONTENTS

Jerzy Lukierski - A Scientist and Teacher

(Foreword by J. Lopuszanski on the occasion of 60-th birthday (1994))

List of Publications by Jerzy Lukierski

Chapter I. Quantum Groups: General Formalism

J.A. de Azcárraga and J.C. Pérez Bueno

Contractions, Hopf Algebra Extensions and Covariant Differential Calculus ....3
M. Klimek
The Linear Difference Derivatives and Some Q-Special Functions ....29
P. Kosinski, P. Maslanka
The kappa - Weyl group and its algebra ....41
S.M. Khoroshkin, A.A. Stolin, V.N. Tolstoy
Rational solutions of Yang-Baxter equation and deformation of Yangians ....53
Chapter II. Quantum Groups: Applications

I.Ya. Aref'eva

Large N Matrix Models and q-Deformed Quantum Field Theories ...79

M. Chaichian, P.P. Kulish

Quantum Group Covariant Systems ...99

M.A. Martin-Delgado and G. Sierra

The Renormalization Group Method and Quantum Groups ...113

A. Nowicki

Remarks on the Quasi-Bialgebra Structure in Quantum Mechanics ...141
Chapter III. Supersymmetry
A. Frydryszak
Lagrangian Models of Particles with Spin: the First Seventy Years ...151
J.W. van Holten
D = 1 Supergravity and Spinning Particles ...173
P. Minnaert, M. Mozrzymas
Superalgebra Structures on SO(3) Tensor Operator Sets ...191
Z. Popowicz
The Supersymmetric SL(2,C) Kac-Moody algebra ...197
Chapter IV. Miscellanea

Z. Haba

The group of diffeomorphisms ...213
Z. Hasiewicz
Chiral systems on group manifolds ...219
J. Kowalski--Glikman
Quantum Potential and Quantum Gravity ...229
J. Lopuszanski, P.C. Stichel
The General Form of the Lagrange Function ...243
J. Maeder, W. Ruhl
Greensite-Halpern Stabilization of A_k Singularities in the N rightarrow infty Limit ...265
B. Piette, W.J. Zakrzewski
Some Aspects of Soliton Unwindings ....275
K. Pilch
BV-Algebras of W -Strings ....287