36,017 research outputs found
Semisimple characters for p-adic classical groups
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
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
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
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
Transformative realism: reflections of reality in political avant-garde and contemporary fine art film - Spanish Labyrinth, south from Granada
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 Madridâs Plaza del Sol and Spainâs 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 1930âs by re-tracing a journey undertaken by three revolutionary filmmakers, Yves Allegret, RenĂŠ Naville and Eli Lotar, in 1931.
The theoretical research for this project establishes an historical root of artistsâ 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
Primitive divisors on twists of the Fermat cubic
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
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
National Evaluation of the Capacity Building Programme in English Local Government: Annex 3. Direct Support in Poor and Weak Local Authorities: Emerging findings
This report summarises emerging findings from initial scoping analysis and case study fieldwork with authorities that have received Direct Support from the Capacity Building Programme (CBP) for local government. The report is one of a series of outputs from the national evaluation of the CBP, being undertaken by a team of researchers at the Policy Research Institute (PRI) at Leeds Metropolitan University and the Cities Research Unit at the University of West of England
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