42,630 research outputs found

    Semisimple characters for p-adic classical groups

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    Let G be a unitary, symplectic, or orthogonal group over a non-Archimedean local field of residual characteristic different from 2, considered as the fixed-point subgroup in a general linear group of an involution. Following previous work of Bushnell and Kutzko, and of the author, we generalize the notion of a semisimple character for and for G. In particular, following the formalism of Bushnell and Henniart, we show that these semisimple characters have certain functorial properties. Finally, we show that any positive level supercuspidal representation of G contains a semisimple character

    Intertwining and supercuspidal types for p-adic classical groups

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    Let F be a non-archimedean local field of residual characteristic different from 2, and let G be a unitary, symplectic or orthogonal group, considered as the fixed point subgroup in = GL(N,F) of an involution s. We generalize the notion of a simple character for , which was introduced by Bushnell and Kutzko [Annals of Mathematics Studies 129 (Princeton University Press, 1993)], to define semisimple characters. Given a semisimple character ? for fixed by s, we transfer it to a character ?- for G and calculate its intertwining. If the torus associated to ?- is maximal compact, we obtain supercuspidal representations of G, which are new if the torus is split only over a wildly ramified extension

    Scaling of the Splash Threshold for Low-Viscosity Fluids

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    The ambient gas pressure is determined for the onset of splashing of low-viscosity liquid drops on smooth dry surfaces as we change the control parameters: drop impact velocity, drop radius, viscosity, surface tension, density, and gas molecular weight. This threshold pressure indicates that there are two distinct regimes when drop impact velocity is varied. By rescaling data using functions of only three dimensionless numbers, the commonly used Reynolds and Weber numbers, as well as the ratio of drop radius to gas mean free path, all data is collapsed to a single curve that encompasses both regimes.Comment: 5 pages, 5 figure

    Buildings of classical groups and centralizers of Lie algebra elements

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    Let Fo be a non-archimedean locally compact field of residual characteristic not 2. Let G be a classical group over Fo (with no quaternionic algebra involved) which is not of type An for n > 1. Let b be an element of the Lie algebra g of G that we assume semisimple for simplicity. Let H be the centralizer of b in G and h its Lie algebra. Let I and Ib denote the (enlarged) Bruhat-Tits buildings of G and H respectively. We prove that there is a natural set of maps jb : Ib ? I which enjoy the following properties: they are affine, H-equivariant, map any apartment of Ib into an apartment of I and are compatible with the Lie algebra filtrations of g and h. In a particular case, where this set is reduced to one element, we prove that jb is characterized by the last property in the list. We also prove a similar characterization result for the general linear group

    Primitive divisors on twists of the Fermat cubic

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    We show that for an elliptic divisibility sequence on a twist of the Fermat cubic, u3+v3=m, with m cube-free, all the terms beyond the first have a primive divisor

    Smooth representations of GL_m(D), V: Endo-classes

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    Let F be a locally compact nonarchimedean local field. In this article, we extend to any inner form of GL_n over F, with n>0, the notion of endo-class introduced by Bushnell and Henniart for GL_n(F). We investigate the intertwining relations of simple characters of these groups, in particular their preservation properties under transfer. This allows us to associate to any discrete series representation of an inner form of GL_n(F) an endo-class over F. We conjecture that this endo-class is invariant under the local Jacquet-Langlands correspondence

    Transformative realism: reflections of reality in political avant-garde and contemporary fine art film - Spanish Labyrinth, south from Granada

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    A turn towards documentary modes of practice amongst contemporary fine art video and filmmakers towards the end of the 20th Century, led to moving image works that represent current social realities. This drew some comparisons of these forms of art to journalism and industrial documentary. The practical research is embodied in a single screen film that responds to recent political and ecological realities in Spain. These include the mass demonstrations that led to the occupation of Madrid’s Plaza del Sol and Spain’s in 2011 and largest recorded forest fires that spread through Andalusia in August of the following year. The film, titled Spanish Labyrinth, South from Granada, is a response to these events and also relates to political avant-garde film of the 1930’s by re-tracing a journey undertaken by three revolutionary filmmakers, Yves Allegret, René Naville and Eli Lotar, in 1931. The theoretical research for this project establishes an historical root of artists’ film that responds to current social realities, in contrast to news media, in the Soviet and European avant-garde movements of the 1920s and 1930s. The main aim of this method is to argue the status of the works that I identify, both avant-garde and contemporary, as a form of art that preceded a Griersonian definition of documentary film

    Can consumer research panels form an effective part of the cancer research community?

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    The North Trent Cancer Research Network’s Consumer Research Panel (NTCRN CRP) was established in December 2001 by the Academic Unit of Supportive Care at the University of Sheffield. In three years, the CRP has succeeded in nurturing a climate of sustainable consumer involvement within the NTCRN and this has become embedded in the culture of the network. Furthermore, the panel have championed a sustainable development of consumer involvement in health and social care research by testing new ground and forging a new way of working between health professionals and patients and carers. The CRP model has been held up as an example to other cancer networks, with new panels being set up around the country to emulate its success. This paper describes the Sheffield model of patient and public involvement and using the eight key principles of successful consumer involvement in research, identified in a recent paper by Telford et al (2003), provides a useful framework for analysing the work of the Panel. This demonstrates how consumers and professionals can inform each other to work constructively and synergistically to achieve impressive research results. The need for measurable outcomes to assess the impact and effect of consumer involvement is finally explored
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