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Let $(M,\omega)$ be a closed symplectic manifold and $\textup{Ham}(M,\omega)$the group of Hamiltonian diffeomorphisms of $(M,\omega)$. Then the Seidelhomomorphism is a map from the fundamental group of $\textup{Ham}(M,\omega)$ tothe quantum homology ring $QH_*(M;\Lambda)$. Using this homomorphism we give asufficient condition for when a nontrivial loop $\psi$ in$\textup{Ham}(M,\omega)$ determines a nontrivial loop $\psi\times\textup{id}_N$in $\textup{Ham}(M\times N,\omega\oplus\eta)$, where $(N,\eta)$ is a closedsymplectic manifold such that $\pi_2(N)=0$.

Seidel's Representation on the Hamiltonian Group of a Cartesian Product