Poisson structures on the center of the elliptic algebra A(q,p)((sl)over-cap(2)(c))

被引:13
|
作者
Avan, J
Frappat, L
Rossi, M
Sorba, P
机构
[1] UNIV PARIS 07,F-75221 PARIS 05,FRANCE
[2] UNIV MONTREAL,CTR RECH MATH,MONTREAL,PQ H3C 3J7,CANADA
[3] ENSLAPP,PHYS THEOR LAB,F-74941 ANNECY LE VIEUX,FRANCE
[4] ECOLE NORMALE SUPER LYON,URA 1436 CNRS,F-69364 LYON 07,FRANCE
关键词
D O I
10.1016/S0375-9601(97)00637-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that the elliptic algebra A(q,p)(<(sl)over cap>(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. (C) 1997 Elsevier Science B.V.
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页码:323 / 334
页数:12
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