THE QUANTUM CALOGERO-MOSER MODEL - ALGEBRAIC STRUCTURES

For the quantum Calogero-Moser model, we construct a set of conserved operators and another set of operators, named boost operators, from it s Lax operator. We prove that each conserved operator satisfies both t he Lax equation and a remarkable relation named additional relation. F rom these knowledge, we show that the conserved operators are involuti ve. Moreover, the conserved operators and the boost operators constitu te the U(1)-current algebra. All the proofs are simplified a great dea l due to the Lax equations and additional relations.