Poisson structures on the center of the elliptic algebra Aq,p(sl(2)c)

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作者
LPTHE, CNRS-URA 280, Universités Paris VI/VII, Paris, France [1 ]
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来源
Phys Lett Sect A Gen At Solid State Phys | / 4卷 / 323-334期
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that the elliptic algebra Aq,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. © 1997 Elsevier Science B.V.
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