S. V. Kryukov, “An analogue of the quantum Drinfeld–Sokolov Hamiltonian reduction for deformed algebras. The <nobr>$U_{q}(\widehat {sl}_{2})$</nobr> case”, TMF, 1998, Volume 114, Number 3,Pages <nobr>337

An analogue of the quantum Drinfeld–Sokolov Hamiltonian reduction for deformed algebras. The $U_{q}(\widehat {sl}_{2})$ case

S. V. Kryukov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: 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

Received: 29.04.1997
Revised: 11.11.1997

DOI: 10.4213/tmf844