Deformed Double Yangian Structures
Arnaudon, D. ; Avan, J. ; Frappat, L. ; Rossi, M.
HAL, hal-00350852 / Harvested from HAL
Text on HAL
Scaling limits when q tends to 1 of the elliptic vertex algebras A_qp(sl(N)) are defined for any N, extending the previously known case of N=2. They realise deformed, centrally extended double Yangian structures DY_r(sl(N)). As in the quantum affine algebras U_q(sl(N)), and quantum elliptic affine algebras A_qp(sl(N)), these algebras contain subalgebras at critical values of the central charge c=-N-Mr (M integer, 2r=ln p/ln q), which become Abelian when c=-N or 2r=Nh for h integer. Poisson structures and quantum exchange relations are derived for their abstract generators.
Publié le : 2000-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00350852,
     author = {Arnaudon, D. and Avan, J. and Frappat, L. and Rossi, M.},
     title = {Deformed Double Yangian Structures},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00350852}
}

Arnaudon, D.; Avan, J.; Frappat, L.; Rossi, M. Deformed Double Yangian Structures. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00350852/