par Gutt, Simone
Référence letters in mathematical physics, 3, 4, page (297-309)
Publication Publié, 1979-07
Article révisé par les pairs
Résumé : In this letter we study the non-trivial formal differentiable deformations of the Lie algebra N=C∞(W, IR) where W is a symplectic manifold. Under some assumptions (satisfied in particular for W=IR2 n) we show that these deformations are all equivalent, up to a monomial change of the parameter, to one of them (Moyal for IR2 n). Furthermore, if there exists a differentiable *-product corresponding to one of them, each of them is induced by a *-product which is essentially unique. © 1979 D. Reidel Publishing Company.