Classical Yang-Baxter Equation and Left Invariant Affine Geometry on Lie Groups

Andre Diatta, Alberto Medina

Let G be a Lie group with Lie algebra $ \Cal G: = T_εG$ and $T^*G = \Cal G^* \rtimes G$ its cotangent bundle considered as a Lie group, where G acts on $\Cal G^*$ via the coadjoint…