Résumé
We prove a quantization theorem of the algebra of polynomial functions on the dual of a local Lie algebroid, by applying the results of the deformation quantization of two coisotropic branes obtained by D. Calaque, G. Felder, A. Ferrario, and C. Rossi. in [Cal+11]. In this context the deformed algebras are the differential graded Chevalley-Eilenberg algebra and the graded Universal Enveloping associative algebra of the trivial formal deformation of this local Lie algebroid. This generalize a famous theorem of quantization of the dual of a Lie algebra obtained by M. Kontsevich in [Kon03] to thelocal Lie algebroids case.