‎The decomposition $Gamma=BH$ of a group $Gamma$ into a subset B ‎and a subgroup $H$ of $Gamma$ induces‎, ‎under general conditions‎, ‎a ‎group-like structure for B‎, ‎known as a gyrogroup‎. ‎The famous‎ concrete realization of a gyrogroup‎, ‎which motivated the emergence ‎of gyrogroups into the mainstream‎, ‎is the space of all ‎relativistically admissible velocities along with a binary ‎mbox{...

The mode of coordination of8 manganese(fI), cobaltm, nickel(H), copper(II), zinc(H), lead(II) and cadmium(I1) to sodium ascorbate (NaHAsc) was investigated using IR, UV-visible, AAS, elemental microanalyzer, conductivity, magnetic and 'M and I3C NMR spectroscopic studies, NaNAsc is bidentate and coordination was through the carbonyl group and the oxygen atom of carbon-2 enolic hydfoxyl grou...

A generalization of the theorem of V. Bargmann concerning unitary and ray representations is obtained and is applied to the general problem of lifting group actions associated to the extension of structure of a bundle. In particular this is applied to the Poincare group ? of a Lorentz manifold M. It is shown that the topological restrictions needed to lift an action in ? are more stringent than...

conclusions the results indicate that mbct is effective on both the improvement of self-esteem and the decrease of social anxiety. the results are in accordance with prior studies performed on adolescents. patients and methods semi-experimental research was conducted on 30 female students diagnosed with social anxiety. from the population of female students who were studying in tehran’s high sc...

We construct a model of spin-Hall effect on a noncommutative four sphere S4 θ with isospin degrees of freedom, coming from a noncommutative instanton, and invariance under a quantum group SOθ(5). The corresponding representation theory allows to explicitly diagonalize the Hamiltonian and construct the ground state; there are both integer and fractional excitations. Similar models exist on highe...

A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining transformation, that is performed on the overlap probability measure. Universality classes are thus naturally defined on a large set of models, going from Z 2 and Ga...

We consider actions of quantum groups on lattice spin systems. We show that if an action of a quantum group respects the local structure of a lattice system, it has to be an ordinary group. Even allowing weakly delocalized (quasi-local) tails of the action, we find that there are no actions of a properly quantum group commuting with lattice translations. The non-locality arises from the orderin...

It has recently been shown by Goldberg et al that the holonomy group of the chiral spin-connection is preserved under time evolution in vacuum general relativity. Here, the underlying reason for the timeindependence of the holonomy group is traced to the self-duality of the curvature 2-form for an Einstein space. This observation reveals that the holonomy group is time-independent not only in v...