It is shown that the elliptic algebra A q,p ( 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.
Poisson structures on the center of the elliptic algebra ${cal A}_{q,p}(widehat {sl}(2)_c)$
ROSSI, Marco;
1997-01-01
Abstract
It is shown that the elliptic algebra A q,p ( 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.File in questo prodotto:
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