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We construct a Lax operator for the G2-Calogero-Moser model by means of a double reduction procedure. In the first reduction step we reduce the A6-model to a Bmodel with the help of an embedding of the B3-root system into the A6-root system together with the specification of certain coupling constants. The G2-Lax operator is obtained thereafter by means of an additional reduction by exploiting the embedding of the G2-system into the B3-system. The degree of algebraically independent and non-vanishing charges is found to be equal to the degrees of the corresponding Lie algebra.
|Uncontrolled Keywords:||CALOGERO-MOSER MODELS, CLASSICAL R-MATRIX, SUTHERLAND MODEL, LIE-ALGEBRAS, INTEGRABLE SYSTEMS, BODY PROBLEMS, ONE DIMENSION, FIELD-THEORY, EQUATIONS, STATE|
|Subjects:||Q Science > QC Physics|
|Divisions:||School of Engineering & Mathematical Sciences > Department of Mathematical Science|
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