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

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

1997-05-16

arxiv.org/abs/q-alg/9705012v1

Phys.Lett. A235 (1997) 323

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09 Document (should be run twice)

Scientific paper

10.1016/S0375-9601(97)00637-3

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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