ar X iv : h ep - t h / 94 12 09 9 v 1 1 2 D ec 1 99 4 Poisson Poincaré groups

X iv : h ep - t h / 94 12 10 1 v 1 1 2 D ec 1 99 4 Poisson homogeneous spaces

General framework for Poisson homogeneous spaces of Poisson groups is introduced. Poisson Minkowski spaces are discussed as a particular example.

ar X iv : h ep - t h / 94 12 09 1 v 1 1 1 D ec 1 99 4 Solutions of n - simplex Equation from Solutions of Braid Group Representation 1

It is shown that a kind of solutions of n-simplex equation can be obtained from representations of braid group. The symmetries in its solution space are also discussed.

ar X iv : h ep - t h / 94 12 15 6 v 1 1 8 D ec 1 99 4 Quantal Overlapping Resonance Criterion : the Pullen Edmonds Model

ar X iv : h ep - t h / 93 10 11 7 v 1 1 9 O ct 1 99 3 QUANTUM κ - POINCARE IN ANY DIMENSION

The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further the quadratic Poisson brackets, determined by the classical r-matrix are calculated, and the quantum Poincaré group " with noncommuting parameters " is obtained.

ar X iv : h ep - t h / 99 12 05 1 v 1 7 D ec 1 99 9 Generalized Superconformal Symmetries and Supertwistor Dynamics 1

We show that in the supersymmetry framework described by a Poincaré superalgebra with tensorial central charges the role of generalized superconformal symmetry which contains all these central charges is played by OSp(1|2), where k = 3 for D = 4. Following [1,2] we describe the free supertwistor model for OSp(1|8). It appears that in such a scheme the tensorial central charges satisfy additiona...