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We study in this paper a new family of stable algebraic symplectic vectorbundles of rank $ 2n $ on the complex projective space $P^{2n+1}$ whoseclassical null correlation bundles belongs. We show that these bundles areinvariant under a miniversal deformation. We also study the sufficientcohomological conditions for a symplectic vector bundle on a projective varietyto be stable.

Fibr\'e vectoriel de 0-corr\'elation pond\'er\'e sur l'espace $P^{2n+1}$