On representations of quantum conjugacy classes of GL(n)

Let $O$ be a closed Poisson conjugacy class of the complex algebraic Poisson group GL(n) relative to the Drinfeld-Jimbo factorizable classical r-matrix. Denote by $T$ the maximal torus of diagonal matrices in GL(n). With every $a\in O\cap T$ we associate a highest weight module $M_a$ over the quantum group $U_q(gl(n))$ and an equivariant quantization $C_{h,a}[O]$ of the polynomial ring $C[O]$ realized by operators on $M_a$. All quantizations $C_{h,a}[O]$ are isomorphic and can be regarded as different exact representations of the same algebra, $C_{h}[O]$. Similar results are obtained for semisimple adjoint orbits in $gl(n)$ equipped with the canonical GL(n)-invariant Poisson structure.Comment: 17 pages, no figure

Representations of quantum conjugacy classes of orthosymplectic groups

Let $G$ be the complex symplectic or special orthogonal group and \g its Lie algebra. With every point $x$ of the maximal torus $T\subset G$ we associate a highest weight module $M_x$ over the Drinfeld-Jimbo quantum group U_q(\g) and a quantization of the conjugacy class of $x$ by operators in \End(M_x). These quantizations are isomorphic for $x$ lying on the same orbit of the Weyl group, and $M_x$ support different representations of the same quantum conjugacy class.Comment: 19 pages, no figure

Influenza

Although this interesting malady, now about to be considered in detail, has from very early times excited the greatest medical interest, and not infrequently, general consternation in its ravages, it is within comparatively recent years that many of its peculiar characteristics, more especially by bacteriological and statistical methods, have been properly and scientifically investigated, the same in connection with recent epidemics.The investigation of such a varied and pandemic disorder is naturally one bristling with difficulties, the chief one being to recognise exactly what to accept or reject as influenzal from the bewildering accumulation of literature on the disease. Our researches to be of practical utility must be com- prehensive as well as selective, so many ailments not necessarily described as such, being of influenzal aetiology, and others again, sues as slight pyrexia with catarrhal symptoms being erroneously described as influenza and included in the statistics of the disease. It is injudicious therefore, to be very dogmatic in our assertions as to this or that symptom or feature being pathognomic of the disease.We shall see later how the great honour of the discovery of the influenza baccillus belongs to Pfeiffer; his results shortly afterwaeds confirmed, and the various investigations at the time being published to the Berlin Report by Von Leyden, and the exhaustive Local Government report by Parsons.One of the best expositions of the disease is to be found in Leichtenstern's article in Nothnagel's Handbuch, and the same has been freely utilized in this composition

Sustained Release Drug Delivery Devices

A method and device for treating a mammalian organism to obtain a desired local or systemic physiological or pharmacological effect is provided. The method includes administering a sustained release drug delivery system to a mammalian organism in need of such treatment at an area wherein release of an effective agent is desired and allowing the effective agent to pass through the device in a controlled manner. The device includes an inner core or reservoir comprising the effective agent; a first coating layer, which is essentially impermeable to the passage of the effective agent; and a second coating layer, which is permeable to the passage of the effective agent. The first coating layer covers at least a portion of the inner core; however, at least a small portion of the inner core is not coated with the first coating layer. The second coating layer essentially completely covers the first coating layer and the uncoated portion of the inner core

Microwave-assisted synthesis and electrochemical evaluation of VO2 (B) nanostructures

Understanding how intercalation materials change during electrochemical operation is paramount to optimizing their behaviour and function and in situ characterization methods allow us to observe these changes without sample destruction. Here we first report the improved intercalation properties of bronze phase vanadium dioxide VO2 (B) prepared by a microwave-assisted route which exhibits a larger electrochemical capacity (232 mAh g-1) compared with VO2 (B) prepared by a solvothermal route (197 mAh g-1). These electrochemical differences have also been followed using in situ X-ray absorption spectroscopy allowing us to follow oxidation state changes as they occur during battery operation

Coastline responses to changing storm patterns

Author Posting. © American Geophysical Union, 2006. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Geophysical Research Letters 33 (2006): L18404, doi:10.1029/2006GL027445.Researchers and coastal managers are pondering how accelerated sea-level rise and possibly intensified storms will affect shorelines. These issues are most often investigated in a cross-shore profile framework, fostering the implicit assumption that coastline responses will be approximately uniform in the alongshore direction. However, experiments with a recently developed numerical model of coastline change on a large spatial domain suggest that the shoreline responses to climate change could be highly variable. As storm and wave climates change, large-scale coastline shapes are likely to shift—causing areas of greatly accelerated coastal erosion to alternate with areas of considerable shoreline accretion. On complex-shaped coastlines, including cuspate-cape and spit coastlines, the alongshore variation in shoreline retreat rates could be an order of magnitude higher than the baseline retreat rate expected from sea-level rise alone.The Andrew W. Mellon Foundation, the National Science Foundation Biocomplexity Program, and the Duke University Center on Global Change supported this work