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Title
Some results on the structures of Lie algebroids and its corresponding Yong-Baxter equation
Type of Research Presentation
Keywords
Poisson - Nijenhuis groupoid , Co-adjoint Lie groupoid.
Abstract
Our purpose in this article is to define the compatible Poisson - Nijenhuis structure of the Co-adjoint orbit of a Lie groupoid. That is, we consider a PoissonNijenhuis structure for a Lie groupoid and by using it, we calculate the Poisson-Nijenhuis structure corresponding to its Co-adjoint Lie groupoid. In the following, we want to state the definitions and theorems for Λ-n structures on the Lie algebroid corresonding to a Lie groupoid. Also,we show that Λ-n structures can be used to find compatible solutions of the classical Yang-Baxter equation.
Researchers (First Researcher)، Ghorbanali Haghighatdoost Bonab (Second Researcher)، Rezvaneh Ayoubi (Third Researcher)، Adel Rezaei-Aghdam (Fourth Researcher)