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Embeddings of maximal tori in classical groups over local and global fields

Publications associées (46)

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Optical Methods for Solid Mechanics: A Full-Field Approach

Unique within the field for being written in a tutorial style, this textbook adopts a step-by-step approach to the background needed for understanding a wide range of full-field optical measurement techniques in solid mechanics. This method familiarizes re ...

WILEY-VCH2012

Accelerated autofocusing of off-axis holograms using critical sampling

Christian Depeursinge, Muhammed Fatih Toy, Jérôme Parent, Marcel Egli, Stéphane Richard

In this Letter we propose a fast off-axis hologram autofocusing (AF) approach that is based on the redundant data elimination by the critical resampling of the contained complex field. Implementation of the proposed methodology enables the real-time AF wit ...

Optical Society of America2012

Descent properties of hermitian Witt groups in inseparable extensions

Eva Bayer Fluckiger, Daniel Arnold Moldovan

Let k be a field of characteristic ≠2, A be a central simple algebra with involution σ over k and W(A,σ) be the associated Witt group of hermitian forms. We prove that for all purely inseparable extensions L of k, the canonical map rL/k:W(A,σ)⟶W(AL,σL) is ...

Springer Verlag2011

Annihilating Ideals Of Quadratic Forms Over Local And Global Fields

We study annihilating polynomials and annihilating ideals for elements of Witt rings for groups of exponent 2. With the help of these results and certain calculations involving the Clifford invariant, we are able to give full sets of generators for the ann ...

2010

Modeling and Flatness of Rigid and Flexible Cable Suspended Underactuated Robots

Philippe Müllhaupt, Basile Graf

A modeling framework is proposed for the control of rigid and flexible cable-like systems such as cranes, together with a systematic algorithm for computing flat outputs of mechanical systems for which the flat output is a linear combi- nation of free coor ...

IEEE2010

On Locality of One-Variable Axioms and Piecewise Combinations

Viktor Kuncak, Swen Jacobs

Local theory extensions provide a complete and efficient way for reasoning about satisfiability of certain kinds of universally quantified formulas modulo a background theory. They are therefore useful in automated reasoning, software verification, and syn ...

2010

Extended Depth-of-Field and 3D Information Extraction in Digital Holographic Microscopy

Christian Depeursinge, Tristan Colomb, Nicolas Pavillon

A comparison of algorithms for depth-of-field extension in the particular field of digital holographic microscopy is presented. Using the reconstruction properties of holography, a simple 3D reconstruction method from a single hologram is deducted. ...

OSA2009

On the essential dimension of cyclic p-groups

Let p be a prime number, let K be a field of characteristic not p, containing the p-th roots of unity, and let r >= 1 be an integer. We compute the essential dimension of Z/p(r) Z over K (Theorem 4.1). In particular, i) We have edℚ(ℤ/8ℤ)=4, a result which ...

Springer-Verlag2008

On Hermitian Pfister Forms

Let K be a field of characteristic different from 2. It is known that a quadratic Pfister form over K is hyperbolic once it is isotropic. It is also known that the dimension of an anisotropic quadratic form over K belonging to a given power of the fundamen ...

2008

True 2D CMOS integrated Hall sensor

Radivoje Popovic, Pavel Kejik

We have designed and realized a new integrated Hall structure that converts the magnetic field vector in the chip plane, into an ac signal, whose amplitude and phase correspond to the magnitude and direction of the field, respectively. It is the first Hall ...

2007