Centralizers of maximal regular subgroups in simple Lie groups and relative congruence classes of representations

In the paper we present a new, uniform and comprehensive description of centralizers of the maximal regular subgroups in compact simple Lie groups of all types and ranks. The centralizer is either a direct product of finite cyclic groups, a continuous group of rank 1, or a product, not necessarily direct, of a continuous group of rank 1 with a finite cyclic group. Explicit formulas for the action of such centralizers on irreducible representations of the simple Lie algebras are given.Comment: 27 page

A Survey of Literature on Genetically Modified Crops: Economics, Ethics and Society

This paper reports on a review of literature in the form of academic papers and published research on ethical and consumer issues for GM crops in North America, with particular emphasis on GM wheat. The issues raised in these papers and the findings and arguments posed by the authors are outlined. A general conclusion that can be drawn from this overview is that public attitudes toward GM foods are diverse and sometimes quite strongly held. The strong negative views of GM food held by some appear to be mainly grounded in individuals’ ethical or moral values. Ethical and risk assessment issues have not been fully explored in the existing literature. There is a general consensus in the applied economics literature that GM crops result in economic benefits, although benefits to individual consumers may not be great enough to overcome perceived risk. Carefully planned provision of credible information informing members of the public of benefits and related issues of concern or costs associated with agricultural biotechnology may have benefits for farm and industry groups, but maintenance of trust in information sources and content is vital to credibility. The discovery and use of genomic techniques that express explicit consumer benefits may lead to more favourable attitudes by many consumers.Crop Production/Industries, Research and Development/Tech Change/Emerging Technologies, I00, Q16, Q18,

Strongly interacting bosons in a disordered optical lattice

Disorder, prevalent in nature, is intimately involved in such spectacular effects as the fractional quantum Hall effect and vortex pinning in type-II superconductors. Understanding the role of disorder is therefore of fundamental interest to materials research and condensed matter physics. Universal behavior, such as Anderson localization, in disordered non-interacting systems is well understood. But, the effects of disorder combined with strong interactions remains an outstanding challenge to theory. Here, we experimentally probe a paradigm for disordered, strongly-correlated bosonic systems-the disordered Bose-Hubbard (DBH) model-using a Bose-Einstein condensate (BEC) of ultra-cold atoms trapped in a completely characterized disordered optical lattice. We determine that disorder suppresses condensate fraction for superfluid (SF) or coexisting SF and Mott insulator (MI) phases by independently varying the disorder strength and the ratio of tunneling to interaction energy. In the future, these results can constrain theories of the DBH model and be extended to study disorder for strongly-correlated fermionic particles.Comment: 15 pages, 4 figures updated to correct errors in referencing previous wor

Small-X Quarks at HERA Predict the Ultra High Energy Neutrino-Nucleon Cross Section

New structure function data at small Bjorken $x$ from HERA are used along with next-to-leading order QCD evolution to predict a cross section for charged-current interactions of ultrahigh energy neutrinos with nucleons. This new result is over twice the size of previous estimates and has important implications for cosmic ray experiments now underway as well as for KM3 arrays (cubic kilometer-scale neutrino telescopes) now in the planning stages.Comment: KITCS94-9-1, 9 pages (REVTeX) plus 3 postscript figures all uuencode