مشخصات پژوهش

Our purpose in this paper is to introduce a class of Lie groupoids, which we will call co-adjoint Lie groupoid, by means of co-adjoint representation of a Lie groupoid on its isotropy Lie algebroid. Also, we try to construct and define Hamiltonian systems on the co-adjoint Lie groupoids. By considering some examples, we show that our construction can be considered as a generalization of the construction of the Lie groups to the Lie groupoids.