This volume presents the lectures given by distinguishyed contributors at the First German-Polish Max Born Symposium, held at Wojnowice in Poland in September, 1991. This is the first such symposium to continue the tradition of a German-Polish collaboration in theoretical physics in the form of biannual seminars organized between the Universities of Leipzig and Wroclaw since the early seventies. The papers in this volume are devoted to quantum group theory, non-commutative differential geometry, and integrable systems. Particular emphasis is given to the formalisms of noncommutative geometry on quantum groups, the quantum deformation of Poincare algebra and the axiomatric approach to superselection rules. Possible relations between noncommutative geometry and particle phyics models are also considered. For researchers and postgraduate students of theoretical and mathematical physics.