Papers from the symposium held in Cargese, France, July 1991. Until recently, it was believed that symmetries in quantum mechanics should be groups, but it has been shown that one can use a more general algebra in which quantum groups are special cases where associativity is preserved. Exploitation of these quantum symmetries was the central theme of the Institute. Paper topics include knot and manifold invariants, the metric aspect of noncommutative geometry, incompressible quantum fluids, s-matrix theory for black holes, quantum symmetry in quantum theory, non-Tannakian categories, and aspects of quantizing Lorentz symmetry. Annotation copyright Book News, Inc. Portland, Or.
