Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c)
Avan, J. ; Frappat, L. ; Rossi, M. ; Sorba, P.
HAL, hal-00376599 / Harvested from HAL
Text on HAL
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.
Publié le : 1997-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00376599,
     author = {Avan, J. and Frappat, L. and Rossi, M. and Sorba, P.},
     title = {Poisson structures on the center of the elliptic algebra A\_{p,q}(sl(2)\_c)},
     journal = {HAL},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00376599}
}

Avan, J.; Frappat, L.; Rossi, M.; Sorba, P. Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c). HAL, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/hal-00376599/