555 research outputs found
Universal Deformation Formulae, Symplectic Lie groups and Symmetric Spaces
We apply methods from strict quantization of solvable symmetric spaces to
obtain universal deformation formulae for actions of a class of solvable Lie
groups. We also study compatible co-products by generalizing the notion of
smash product in the context of Hopf algebras
Universal Deformation Formulae for Three-Dimensional Solvable Lie groups
We apply methods from strict quantization of solvable symmetric spaces to
obtain universal deformation formulae for actions of every three-dimensional
solvable Lie group. We also study compatible co-products by generalizing the
notion of smash product in the context of Hopf algebras. We investigate in
particular the dressing action of the `book' group on SU(2)
A mi-chemin entre analyse complexe et superanalyse
In the framework of superanalysis we get a functions theory close to complex
analysis, under a suitable condition (A) on the real superalgebras in
consideration (this condition is a generalization of the classical relation 1 +
i^2 = 0 in C). Under the condition (A), we get an integral representation
formula for the superdifferentiable functions.We give a result of Hartogs type
of separated superdifferentiability, a continuation theorem of Hartogs-Bochner
type and a Liouville theorem for the superdifferentiable functions.Comment: version 2 : \`a para\^itre dans Publicacions Matem\`atiques
(compl\'ements par rapport \`a la version 1 : commentaires sur les conditions
alg\'ebriques
Recommended from our members
On the Development of the Complementation System in English and its Relation to Switch-Reference
Entre analyse complexe et superanalyse
In the framework of superanalysis we get a functions theory close to complex
analysis, under a suitable condition (A) on the real superalgebras in
consideration. Under the condition (A), we get an integral representation
formula for the superdifferentiable functions.We give a result of Hartogs type
of separated superdifferentiability and a continuation theorem of
Hartogs-Bochner type for the superdifferentiable functions.Comment: v2 correspond \`a l'article d\'etaill\'e pour une note aux CRAS (v3)
parue en 200
Almost holomorphic curves in real analytic hypersurfaces
Using the theory of exterior differential systems, we study the existence of
germ of pseudo-holomorphic disk in a real analytic hypersurface locally defined
in a complex manifold equipped with J a real analytic almost complex structure.
The integrable case in C n with J the multiplication by i has been intensively
studied by several authors [DF], [DA1] and [DA2] for example. The non
integrable case is drastically different essentially due to the following fact
: in generic case, there is no J-invariant objects of dimension bigger than
one. This simple observation leads to the non existence of some equivalents of
Segree varieties or ideals of holomorphic functions which play a fundamental
role in the complex case. Nevertheless in the almost complex case, we adopt the
exterior differential system point of view of E.Cartan developed and clarified
in [BCGGG]
Flexible G1 Interpolation of Quad Meshes
International audienceTransforming an arbitrary mesh into a smooth G1 surface has been the subject of intensive research works. To get a visual pleasing shape without any imperfection even in the presence of extraordinary mesh vertices is still a challenging problem in particular when interpolation of the mesh vertices is required. We present a new local method, which produces visually smooth shapes while solving the interpolation problem. It consists of combining low degree biquartic BĂ©zier patches with minimum number of pieces per mesh face, assembled together with G1-continuity. All surface control points are given explicitly. The construction is local and free of zero-twists. We further show that within this economical class of surfaces it is however possible to derive a sufficient number of meaningful degrees of freedom so that standard optimization techniques result in high quality surfaces
PISCO2: the new speckle camera of the Nice 76-cm refractor
We present the new speckle camera PISCO2 made in 2010-2012, for the 76-cm
refractor of C\^ote d'Azur Observatory. It is a focal instrument dedicated to
the observation of visual binary stars using high angular resolution speckle
interferometry techniques to partly overcome the degradation caused by the
atmospheric turbulence. Fitted with an EMCCD detector, PISCO2 allows the
acquisition of short exposure images that are processed in real time by our
specially designed software. Two Risley prisms are used for correcting the
atmospheric dispersion. All optical settings are remotely controlled. We have
already been able to observe faint, close binary stars with angular separations
as small as 0".16, and visual magnitudes of about 16. We also have measured
some particularly difficult systems with a magnitude difference between the two
components of about 4 magnitudes. This level of performance is very promising
for the detection and study of large sets of yet unknown (or partly measured)
binaries with close separation and/or large magnitude difference.Comment: 13 pages, 12 figure
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