Weight function for the quantum affine algebra Uq(sl^3)U_q(\hat{sl}_3)

We give a precise expression for the universal weight function of the quantum affine algebra $U_q(\hat{sl}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.Comment: 28 page

The XVII Amendment’s impact to Economy, Politics, and European Immigration during Prohibition in the United States

Prohibition occurred between the years 1920 to 1933. The United States Congress ratified the XVII amendment prohibiting the sale, manufacture, and transport of intoxicating liquors. During these years United States emerged from its involvement in World War I, experienced the Roaring Twenties, and felt the impact of the Great Depression. The era historically transformed the United States during the period of thirteen years. Upon the ratification of XVIII amendment, the Volstead Act became the enforcing mechanism of the law, Prohibition took effect within the United States on January 17, 1920. The economy, law enforcement and European immigration were all sectors uniquely affected during the Prohibition era in the United States. The United States government political fallout occurred because they believed the ratification would positively impact the country’s economy, however; the government lost tax revenues immediately after the tax on liquor sales halted. The law’s goal was to eliminate all liquor within the United States. The government did not expect illegal smuggling nor the establishment of a bootlegging industry. The closure of saloons led to an illegal development of underground speakeasies. Alcohol smugglers thrived, while the National Anti-Saloon League influenced distinguished members of Congress and the government with their use of “pressure politics.” The Treasury Department assigned a Prohibition Unit agency known as the Federal Bureau of Investigation to follow paper tracks and anonymous tips about speakeasies and illegal smuggling. The United States endowed Border Patrol with law enforcement authority allowing them to make arrests without warrants on any violation of immigration laws. Immigrants found opportunities sidestepping the law and built speakeasies to supplement their incomes. Germans, Italians, and Irish Americans were all targeted because of citizens preconceived prejudices against immigrants in the United States

Fast ignition driven by quasi-monoenergetic ions: Optimal ion type and reduction of ignition energies with an ion beam array

Fast ignition of inertial fusion targets driven by quasi-monoenergetic ion beams is investigated by means of numerical simulations. Light and intermediate ions such as lithium, carbon, aluminium and vanadium have been considered. Simulations show that the minimum ignition energies of an ideal configuration of compressed Deuterium-Tritium are almost independent on the ion atomic number. However, they are obtained for increasing ion energies, which scale, approximately, as Z^2, where Z is the ion atomic number. Assuming that the ion beam can be focused into 10 {\mu}m spots, a new irradiation scheme is proposed to reduce the ignition energies. The combination of intermediate Z ions, such as 5.5 GeV vanadium, and the new irradiation scheme allows a reduction of the number of ions required for ignition by, roughly, three orders of magnitude when compared with the standard proton fast ignition scheme

Hexaaquazinc(II) dinitrate bis[5-(pyridinium-3-yl)tetrazol-1-ide]

Indexación: Scopus.Funding for this research was provided by: Fondecyt Regular (award No. 1151527); Proyecto REDES ETAPA INICIAL, Convocatoria 2017 (award No. REDI170423); Millennium Institute for Research in Optics (MIRO); Basal USA (award No. 1799).Hexaaquazinc(II) dinitrate 5-(pyridinium-3-yl)tetrazol-1-ide, [Zn(H2 O)6](NO 3)2 ·2C6H5 N 5, crystallizes in the space group P. The asymmetric unit contains one zwitterionic 5-(pyridinium-3-yl)tetrazol-1-ide molecule, one NO3-anion and one half of a [Zn(H2 O)6]2+ cation (symmetry). The pyridinium and tetrazolide rings in the zwitterion are nearly coplanar, with a dihedral angle of 5.4 (2)°. Several O-H..N and N-H..O hydrogen-bonding interactions exist between the [Zn(H2 O)6]2+ cation and the N atoms of the tetrazolide ring, and between the nitrate anions and the N-H groups of the pyridinium ring, respectively, giving rise to a three-dimensional network. The 5-(pyridinium-3-yl)tetrazol-1-ide molecules show parallel-displaced π-π stacking interactions; the centroid-centroid distance between adjacent tetrazolide rings is 3.6298 (6) Å and that between the pyridinium and tetrazolide rings is 3.6120 (5) Å. © 2018 Chi-Duran et al.http://journals.iucr.org/e/issues/2018/09/00/cq2025/index.htm

On dynamical adjoint functor

We give an explicit formula relating the dynamical adjoint functor and dynamical twist over nonalbelian base to the invariant pairing on parabolic Verma modules. As an illustration, we give explicit $U(sl(n))$- and $U_\hbar(sl(n))$-invariant star product on projective spaces