G(2)-Calogero-Moser Lax operators from reduction

Fring, Andreas; Manojlovic, Nenad

http://hdl.handle.net/10400.1/11816

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Authors

Fring, Andreas

Manojlovic, Nenad

Abstract(s)

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.