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Title
Some examples of co-adjoint orbit of Lie group oids
Type of Research Presentation
Keywords
Lie group oids, Lie algebroids, Hamiltonian system.
Abstract
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.
Researchers Ghorbanali Haghighatdoost Bonab (First Researcher)، Rezvaneh Ayoubi (Second Researcher)