The RLL relation for the elliptic quantum group L-operator
The RLL relation for the elliptic quantum group L-operator
Let be the L-operator constructed from the half currents, and let be the evaluation -matrix of the universal -matrix of . For tensor factors and , write and for the corresponding copies, and let and denote the dynamical Cartan variables appearing in the relation. The RLL relation. The L-operator satisfies
This relation is conjectured from comparison with the half-current relations and is intended to identify the L-operator realization of the dynamical elliptic quantum group; the source provides no resolution of the conjecture.
Sources & referencesView supporting material
Primary source
Takeo Kojima and Hitoshi Konno, “The elliptic algebra U_q,p(sl_N) and the Drinfeld realization of the elliptic quantum group B_q,λ(sl_N)”, arXiv:math/0210383 (2002).
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