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Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c)

J. Avan·L. Frappat·M. Rossi·P. Sorba
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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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BibTeXRIS

J. Avan, L. Frappat, M. Rossi, P. Sorba. 1997-05-16. Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c). https://doi.org/10.1016/s0375-9601(97)00637-3

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