Geodesic
An analogue of the quantum Drinfeld–Sokolov Hamiltonian reduction for deformed algebras. The $U_{q}(\widehat {sl}_{2})$ case
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 337-348 
S. V. Kryukov. An analogue of the quantum Drinfeld–Sokolov Hamiltonian reduction for deformed algebras. The $U_{q}(\widehat {sl}_{2})$ case. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 3, pp. 337-348. http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a1/
@article{TMF_1998_114_3_a1,
     author = {S. V. Kryukov},
     title = {An analogue of the quantum {Drinfeld{\textendash}Sokolov} {Hamiltonian} reduction for deformed algebras. {The} $U_{q}(\widehat {sl}_{2})$ case},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {337--348},
     year = {1998},
     volume = {114},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_3_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate the relation between the algebra $U_q(\widehat {sl}_2)$ and the $q$-deformation of the Virasoro algebra. We calculate the BRST-operator of the Drinfeld–Sokolov reduction and its cohomology

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