Minimal group codes over alternating groups

In this work we show that every minimal code in a semisimple group algebra $\mathbb{F}_qG$ is essential if $G$ is a simple group. Since the alternating group $A_n$ is simple if $n=3$ or $n\geq 5$, we present some examples of minimal codes in $\mathbb{F}_qA_n$. For this purpose, if $char(\mathbb{F}_q)> n$, we present the Wedderburn-Artin decomposition of $\mathbb{F}_qS_n$ and $\mathbb{F}_qA_n$ and explicit some of the centrally primitive idempotents of $\mathbb{F}_qS_n$ and $\mathbb{F}_qA_n$.Comment: 16 page

Black Hole Astrophysics : Magnetohydrodynamics on the Kerr Geometry

This work is dedicated to the astrophysics of rotating black holes. The main topic concerns accretion physics in the regime of General Relativistic Magnetohydrodynamics (GRMHD). The behavior of non-radiative accretion flows and outflows on the Kerr space-time is analyzed. Basic equations of conservative GRMHD and aspects of numerical schemes are presented. Relativistic codes and astrophysical simulations validate numerical schemes. A synopsis gives requirements for a robuste GRMHD code. Further developments in GRMHD research are investigated. Another part deals with radiation from accretion disks. Relativistically broadened emission lines from active galactic nuclei and X-ray binaries are calculated by relativistic ray tracing. A new model - based on truncated standard disks - is presented that considers radial drift in accretion flows. Emission lines serve as diagnostic tools to compare parameter studies. Thereby, a classification scheme by line morphology was found: A line profile is triangular, double-horned, bumpy, shoulder-like or double-peaked. Both parts of the work can be connected in further research: results from GRMHD simulations e.g. the velocity field of the flow serve as an input for Kerr ray tracing. Then, realistic spectra are feasible that originate from the vicinity of black holes

The Sagittarius Dwarf spheroidal Galaxy Survey (SDGS) II: The stellar content and constraints on the star formation history

A detailed study of the Star Formation History of the Sgr dSph galaxy is performed through the analysis of the data from the Sagittarius Dwarf Galaxy Survey (SDGS; Bellazzini, Ferraro & Buonanno 1999). Accurate statistical decontamination of the SDGS Color - Magnitude diagrams allow us to obtain many useful constraints on the age and metal content of the Sgr stellar populations in three different region of the galaxy. A coarse metallicity distribution of Sgr stars is derived, ranging from [Fe/H]~ -2.0 to [Fe/H]~ -0.7, the upper limit being somewhat higher in the central region of the galaxy. A qualitative global fit to all the observed CMD features is attempted, and a general scheme for the Star Formation History of the Sgr is derived. According to this scheme, star formation began at very early time from a low metal content Inter Stellar Medium and lasted for several Gyr, coupled with progressive chemical enrichment. The Star Formation Rate (SFR) had a peak from 8 to 10 gyr ago when the mean metallicity was in the range -1.3<= [Fe/H] <= -0.7. After that maximum, the SFR rapidly decreased and very low rate star formation took place until ~1-0.5 Gyr ago.Comment: 21 pages, 12 figures, figg. 1,2,3,5,6,10 and 11 provided in lower resolution format. For full resolution versions see http://www.bo.astro.it/bap/BAPhome.html Accepted by MNRA