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- Construction of the bethe state for the E-tau,E-eta(so(3)) elliptic quantum groupPublication . Manojlovic, Nenad; Nagy, ZoltanElliptic quantum groups can be associated to solutions of the star-triangle relation of statistical mechanics. In this paper, we consider the particular case of the E-tau,E-eta(so(3)) elliptic quantum group. In the context of algebraic Bethe ansatz, we construct the corresponding Bethe creation operator for the transfer matrix defined in an arbitrary representation of E-tau,E-eta(so(3)).
- G(2)-Calogero-Moser Lax operators from reductionPublication . Fring, Andreas; Manojlovic, NenadWe 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.