Poisson structures on the center of the elliptic algebra Ap,q(sl(2)c)
Abstract
It is shown that the elliptic algebra Ap,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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