Drinfeld-Sokolov reduction for quantum groups and deformations of W-algebras

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dc.creatorSevostyanov, A.
dc.date2001-07-30
dc.date2002-05-07
dc.date.accessioned2026-07-07T04:42:47Z
dc.date.available2026-07-07T04:42:47Z
dc.descriptionWe define deformations of W-algebras associated to complex semi-simple Lie algebras by means of quantum Drinfeld-Sokolov reduction procedure for affine quantum groups. We also introduce Wakimoto modules for arbitrary affine quantum groups and construct free field resolutions and screening operators for the deformed W-algebras. We compare our results with earlier definitions of q-W-algebras and of the deformed screening operators due to Awata, Kubo, Odake, Shiraishi (q-alg/9507034, q-alg/9508011, q-alg/9612001), Feigin, E. Frenkel (q-alg/9508009) and E. Frenkel, Reshetikhin (q-alg/9708006). The screening operator and the free field resolution for the deformed W-algebra associated to the simple Lie algebra sl(2) coincide with those for the deformed Virasoro algebra introduced in q-alg/9507034.
dc.description55 pages, AMSLaTeX, misprints corrected, the list of references extended, minor changes in the exposition
dc.identifierhttps://arxiv.org/abs/math/0107215
dc.identifierhttp://arxiv.org/abs/math/0107215
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61929
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37 (Primary), 20C08 (Secondary)
dc.titleDrinfeld-Sokolov reduction for quantum groups and deformations of W-algebras
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