Abstract
We construct two realizations of the [Formula: see text] algebra in the classical Calogero model based on the [Formula: see text] constraints for the Hermitian one-matrix model. We also discuss the quantum Calogero model and construct the new operators which yield the closed [Formula: see text][Formula: see text]-algebra. The super [Formula: see text][Formula: see text]-algebra is derived for the supersymmetric quantum Calogero model.
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