POISSON STRUCTURES ON THE CENTER OF THE ELLIPTIC ALGEBRA A(Q,P)((SL)OVER-CAP(2)(C))

Authors
AVAN J FRAPPAT L ROSSI M SORBA P
Citation
J. Avan et al., POISSON STRUCTURES ON THE CENTER OF THE ELLIPTIC ALGEBRA A(Q,P)((SL)OVER-CAP(2)(C)), Physics letters. A, 235(4), 1997, pp. 323-334
Citations number
21
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
235
Issue
4
Year of publication
1997
Pages
323 - 334
Database
ISI
SICI code
0375-9601(1997)235:4<323:PSOTCO>2.0.ZU;2-X
Abstract
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 r esult of Reshetikhin and Semenov-Tian-Shansky for trigonometric algebr as, A family of Poisson structures indexed by a non-negative integer k is constructed on this center. (C) 1997 Elsevier Science B.V.