Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c)
arXiv:q-alg/9705012 · doi:10.1016/S0375-9601(97)00637-3
Abstract
It is shown that the elliptic algebra A_{p,q}(sl(2)_c) has a non trivial center at the critical level $c=-2$, generalizing the result of Reshetikhin and Semenov-Tian-Shansky for trigonometric algebras. A family of Poisson structures indexed by a non-negative integer $k$ is constructed on this center.
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