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pro vyhledávání: '"Lecomte, Pierre"'
We prove a Lie-algebraic characterization of vector bundle for the Lie algebra $\mathcal{D}(E,M),$ seen as ${\rm C}^\infty(M)-$module, of all linear operators acting on sections of a vector bundle $E\to M$. We obtain similar result for its Lie subalg
Externí odkaz:
http://arxiv.org/abs/2007.14649
Autor:
Lecomte, Pierre
EDF souhaite utiliser la technologie de mesure de température répartie par capteur à fibre optique utilisant l’effet Raman pour réaliser des cartographies de température de certains composants de centrales nucléaires. Les conditions environne
Externí odkaz:
http://www.theses.fr/2017PERP0067/document
Autor:
Lecomte, Pierre
La synthèse de champs sonores est un domaine de recherche actif trouvant de nombreuses applications musicales, multimédias ou encore industrielles. Dans ce dernier cas, la reconstruction précise du champ sonore est souhaitée, ce qui implique de r
Externí odkaz:
http://www.theses.fr/2016CNAM1076/document
Akademický článek
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Publikováno v:
In Journal of Sound and Vibration 17 March 2020 469
Publikováno v:
In Journal of Sound and Vibration 23 June 2019 450:141-155
Publikováno v:
SIGMA 8 (2012), 004, 10 pages
We prove that a vector bundle $\pi : E \to M$ is characterized by the Lie algebra generated by all differential operators on $E$ which are eigenvectors of the Lie derivative in the direction of the Euler vector field. Our result is of Pursell-Shanks
Externí odkaz:
http://arxiv.org/abs/1109.4772
In this paper we construct a graded Lie algebra on the space of cochains on a $\mathbbZ_2$-graded vector space that are skew-symmetric in the odd variables. The Lie bracket is obtained from the classical Gerstenhaber bracket by (partial) skew-symmetr
Externí odkaz:
http://arxiv.org/abs/1012.3885
Autor:
Hansoul, Sarah, Lecomte, Pierre B. A.
In order to understand the structure of the cohomologies involved in the study of projectively equivariant quantizations, we introduce a notion of affine representation of a Lie algebra.We show how it is related to linear representations and 1-cohomo
Externí odkaz:
http://arxiv.org/abs/math/0307261
Autor:
Lecomte, Pierre B. A., Rigo, Michel
Generalizations of linear numeration systems in which the set of natural numbers is recognizable by finite automata are obtained by describing an arbitrary infinite regular language following the lexicographic ordering. For these systems of numeratio
Externí odkaz:
http://arxiv.org/abs/cs/9903005