Abstract
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 qi, and canonically conjugate momenta pi and the coupling parameter β are an extra auxiliary phase-space parameter, we present the realization of the Virasoro—Witt, w∞ and SDiff(T2) 3-algebras, respectively.
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