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In this paper, we study the semilinear wave equation with lower order terms(damping and mass) and with power type nonlinearity $|u|^p$ on compact Liegroups. We will prove the global in time existence of small data solutions inthe evolution energy space without requiring any lower bounds for $p>1$. In ourapproach, we employ some results from Fourier analysis on compact Lie groups.

A global existence result for a semilinear wave equation with lower order terms on compact Lie groups