Abstract
We construct a Lax operator for the G 2-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A 6-model to a B 3-model with the help of an embedding of the B 3-root system into the A 6-root system together with the specification of certain coupling constants. The G 2-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G 2-system into the B 3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra.