Realization Of The Infinite-Dimensional 3-Algebras In The Calogero-Moser Model

We investigate realization of the infinite-dimensional 3-algebras in the classical Calogero-Moser model. In terms of the Lax matrix of the Calogero-Moser model and the Nambu 3-brackets in which the variables are the coordinates q(i), and canonically conjugate momenta p(i) and the coupling parameter beta are an extra auxiliary phase-space parameter, we present the realization of the Virasoro-Witt, omega(infinity) and SD(i)ff(T-2) 3-algebras, respectively.