On N-Algebraic Structures In The Calogero Model

We construct two realizations of the w(1+infinity) algebra in the classical Calogero model based on the W1+infinity constraints for the Hermitian one-matrix model. We also discuss the quantum Calogero model and construct the new operators which yield the closed W1+infinity n-algebra. The super W1+infinity n-algebra is derived for the supersymmetric quantum Calogero model.