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

来源：

PHYSICS LETTERS A | 1997年 / 235卷 / 04期

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.

引用

页码：323 / 334

页数：12

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