Multiplicative forms on Poisson groupoids (Q6661776)

Let us recall that the concept of Lie groupoids was introduced by Ehresmann in the years 1950. \N\NIn this paper, the authors concentrate on Poisson groupoids. The aim of the paper is twofold: to build upon multiplicative multivector fields on groupoids and to investigate Poisson Lie groups with the associated multiplicative forms and the induced graded Lie algebras.\N\NThis work starts with reviewing Lie groupoids, Lie algebroids, the corresponding jets, the multiplicative multivector fields. A variety of formulas related to multiplicative multivector fields are obtained. The main results are then proved.