Generalization of Weinstein's Morphism

We present a generalization of Weinstein’s morphism defined on ${\pi }_{2k-1}(\text{Ham}(M,\omega ))$. We use this morphism to show that for $n\ge 2$ the Lie group $SU(2)$ induces an element in ${\pi }_3(\text{Ham}(\mathbb{C}{P}^n,{\omega }_{\text{FS}}))$ of infinite order.