Super Solutions of the Dynamical Yang-Baxter Equation

We classify super dynamical r-matrices with zero weight, thus extending earlier results of Etingof and Varchenko to the graded case

Dynamical Quantum Groups - The Super Story

We review recent results in the study of quantum groups in the super setting. In particular, we provide an overview of results about solutions of the Yang-Baxter equations in the super setting and begin to develop the super analog of the theory of dynamical quantum groups

Comprehensive analysis of RGU photometry in the direction to M5

The RGU-photographic investigation of an intermediate latitude field in the direction to the Galactic center is presented. 164 extra-galactic objects, identified by comparison of Minnesota and Basel charts, are excluded from the program. Also, a region with size 0.104 square-degrees, contaminated by cluster (M5) stars and affected by background light of the bright star HD 136202 is omitted. Contrary to previous investigations, a reddening of $E(B-V)=0.046$, corresponding to E(G-R)=0.07 mag is adopted. The separation of dwarfs and evolved stars is carried out by an empirical method, already applied in some of our works. A new calibration for the metallicity determination is used for dwarfs, while the absolute magnitude determination for stars of all categories is performed using the procedures given in the literature. There is good agreement between the observed logarithmic space density histograms and the galactic model gradients. Also, the local luminosity function agrees with Gliese's (1969) and Hipparcos' (Jahreiss & Wielen 1997) luminosity functions, for stars with $2<M(G)\leq8$ mag. For giants, we obtained two different local space densities from comparison with two Galactic models, i.e. $D^{*}(0)=6.63$, close to that of Gliese (1969), and $D^{*}(0)=6.79$. A metallicity gradient, $d[Fe/H]/dz= -0.20$ dex/kpc, is detected for dwarfs (only) with absolute magnitudes $4<M(G)\leq6$, corresponding to a spectral type interval F5-K0.Comment: 17 pages, including 13 figures and 3 tables, accepted for publication in PAS

Absolute magnitudes for late-type dwarf stars for Sloan photometry

We present a new formula for absolute magnitude determination for late-type dwarf stars as a function of (g-r) and (r-i) for Sloan photometry. The absolute magnitudes estimated by this approach are brighter than those estimated by colour-magnitude diagrams, and they reduce the luminosity function rather close to the luminosity function of Hipparcos.Comment: 11 pages, 9 figures and 5 tables, accepted for publication in A

Parametrization of the Galactic Structure by two exponentials

We parametrized the total structure of the Galaxy in cylindrical coordinates by radial and vertical exponentials up to z=10 kpc, covering thin disc, thick disc, and the inner spheroid. However, we let the scaleheight and scalelength to be a continuous function of distance from the Galactic plane. The standard deviations for the differences between the space densities estimated by means of the newly defined scaleheight and scalelength and the observed space densities for three absolute magnitude intervals, 5<M(g)<=6, 6<M(g)<=7, and 7<M(g)<=8, for the fields SA 114, ELAIS, and #0952+5245 are rather small. The uncertainties for the scaleheight are also small, indicating that this parameter is very sensitive to the distance from the Galactic plane, whereas those for the scalelength are larger.Comment: 10 pages, 1 figure and 6 tables, accepted for publication in A