nLab Drinfel'd-Sokolov reduction

Classical version

• V. G. Drinfel'd, V.V. Sokolov, Sov. Math. Dokl. 23 (1981) 457; J. Sov. Math. 30 (1985) 1975.
• Alberto De Sole, Victor G. Kac, Daniele Valeri, Classical W-algebras and Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras, arxiv/1207.6286; Classical W-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents, arxiv/1306.1684

Quantum version

• Edward Frenkel, Victor Kac, Minoru Wakimoto, Characters and fusion rules for W-algebras via quantized Drinfelʹd-Sokolov reduction, Comm. Math. Phys. 147 (1992), no. 2, 295–328.
• Boris Feigin, Edward Frenkel, Quantization of the Drinfeld-Sokolov reduction, Physics Letters B246, 1–2, 1990, 75–81, doi
• Д. Талалаев, А. Червов, Уравнение КЗ, G-оперы, квантовая редукция Дринфельда–Соколова и квантовое тождество Гамильтона–Кэли, Zapiski Naučnyh Seminarov POMI 360, 2008, 246–259, pdf; Engl, transl. D. Talalaev, A. Chervov, KZ equation, G-opers, quantum Drinfeld-Sokolov reduction, and quantum Cayley-Hamilton identity, J. Math, Sci. (New York), 2009, 158:6, 904–911, doi, hep-th/0607250