Central extensions of classical and quantum q-Viraroso algebras
Avan, J. ; Frappat, L. ; Rossi, M. ; Sorba, P.
HAL, hal-00350839 / Harvested from HAL
Text on HAL
We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A_{q,p}[sl(N)_c]. After establishing the expressions of the cocycle conditions, we solve them, both in the classical and in the quantum case (for sl(2)). We find that the consistent central extensions are much more general that those found previously in the literature.
Publié le : 1999-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00350839,
     author = {Avan, J. and Frappat, L. and Rossi, M. and Sorba, P.},
     title = {Central extensions of classical and quantum q-Viraroso algebras},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00350839}
}

Avan, J.; Frappat, L.; Rossi, M.; Sorba, P. Central extensions of classical and quantum q-Viraroso algebras. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00350839/