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9 papers · 1 filter
Deformation par quantification et rigidite des algebres enveloppantes
M. Bordemann, A. Makhlouf, T. Petit
We call a finite-dimensional complex Lie algebra strongly rigid if its universal enveloping algebra $\Ug$ is rigid as an associative algebra, i.e. every formal assoc…
Valued Deformations of Algebras
Michel Goze, Elisabeth Remm
We develop the notion of deformations using a valuation ring as ring of coefficients. This permits to consider in particular the classical Gerstenhaber deformations of associative…
Lie-admissible algebras and operads
Michel Goze, Elisabeth Remm
A Lie-admissible algebra gives by anticommutativity a Lie algebra. In this work we study remarkable classes of Lie-admissible algebras such as Vinberg, PreLie algebras. We compute…
Non-semisimple Lie algebras with Levi factor \frak{so}(3), \frak{sl}(2,R) and their invariants
Rutwig Campoamor-Stursberg
We analyze the number N of functionally independent generalized Casimir invariants for non-semisimple Lie algebras \frak{s}\overrightarrow{% oplus}_{R}\frak{r} with Levi factors is…
Sur l'existence d'une prescription d'ordre naturelle projectivement invariante
Martin Bordemann
P.Lecomte has proposed to take into account the covariant derivatives used to build ordering prescriptions for the naturality of transformation properties and has conjectured that…
Sedimentation and Fouling of Optical Surfaces at the ANTARES Site
ANTARES collaboration
ANTARES is a project leading towards the construction and deployment of a neutrino telescope in the deep Mediterranean Sea. The telescope will use an array of photomultiplier tubes…