1 4 O ct 1 99 9 Extended deformation functors , I

m at h . A C ] 1 4 O ct 1 99 9 Computing the Homology of Koszul Complexes by Bernhard Köck

Let R be a commutative ring and I an ideal in R which is locally generated by a regular sequence of length d. Then, each f. g. projective R/I-module V has an Rprojective resolution P. of length d. In this paper, we compute the homology of the n-th Koszul complex associated with the homomorphism P1 → P0 for all n ≥ 1, if d = 1. This computation yields a new proof of the classical Adams-Riemann-R...

v 1 2 9 O ct 1 99 5 Rare - Earth Nuclei : Radii , Isotope - Shifts and Deformation Properties in the Relativistic Mean Field Theory

ar X iv : h ep - t h / 98 10 23 4 v 1 2 8 O ct 1 99 8 FUNCTIONAL APPROACH TO PHASE SPACE FORMULATION OF QUANTUM MECHANICS

We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by ¯ h-deformation of the cohomological classical mechanics described by d = 1, N = 2 model. We use the extended phase space supplied by the path integral formulation with ¯ h-deformed symplectic structure.

x / 99 10 05 8 v 1 2 7 O ct 1 99 9 Rare Φ Decays and Exotic Hadrons

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.