Irreducibility criterion for representations induced by essentially unitary ones (case of non-archimedean GL(n,A)

Let A be a finite dimensional central division algebra over a local non-archimedean field F. Fix any parabolic subgroup P of GL(n,A) and a Levi factor M of P. Let \pi be an irreducible unitary representation of M and \phi (not necessarily unitary) character of M. We give an explicit necessary and sufficient condition for the parabolically induced representation Ind(\phi\pi) of GL(n,A) to be irreducible.Comment: 40 page

Helical edge states in silicene and germanene nanorings in perpendicular magnetic field

Due to nonzero intrinsic spin-orbit interaction in buckled honeycomb crystal structures, silicene and germanene exhibit interesting topological properties, and are therefore candidates for the realization of the quantum spin Hall effect. We employ the Kane-Mele model to investigate the electron states in hexagonal silicene and germanene nanorings having either zigzag or armchair edges in the presence of a perpendicular magnetic field. We present results for the energy spectra as function of magnetic field, the electron density of the spin-up and spin-down states in the ring plane, and the calculation of the probability current density. The quantum spin Hall phase is found at the edges between the nontrivial topological phase in silicene and germanene and vacuum. We demonstrate that the helical edge states in zigzag silicene and germanene nanorings can be qualitatively well understood by means of classical magnetic moments. However, this is not the case for comparable-sized armchair nanorings, where the eigenfunctions spread throughout the ring. Finally, we note that the energy spectra of silicene and germanene nanorings are similar and that the differences between the two are mainly related to the difference in magnitude of the spin-orbit coupling.Comment: 17 pages, 10 figure

SAP ERP – SAP S/4HANA Unterschiede in den Bereichen Reports, Queries und Workflows

In dieser Bachelorarbeit wurden die Unterschiede von SAP ERP und SAP S/4HANA in den Bereichen Reports, Queries und Workflows verglichen. Ausserdem wurde das neue Datenmo-dell von SAP S/4HANA analysiert. Des Weiteren wurden andere Lösungsvorschläge, wie zum Beispiel Cloud oder Mobile Angebote erforscht. Abschliessend wurden Key Performance In-dicators, für die Anwendung von SAP S/4HANA, entwickelt