The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras

dc.creatorFUTORNY, Vyacheslav
dc.creatorMOLEV, Alexander
dc.creatorOVSIENKO, Serge
dc.date.accessioned2012-10-20T04:51:07Z
dc.date.accessioned2018-07-04T15:47:16Z
dc.date.available2012-10-20T04:51:07Z
dc.date.available2018-07-04T15:47:16Z
dc.date.created2012-10-20T04:51:07Z
dc.date.issued2010
dc.identifierADVANCES IN MATHEMATICS, v.223, n.3, p.773-796, 2010
dc.identifier0001-8708
dc.identifierhttp://producao.usp.br/handle/BDPI/30734
dc.identifier10.1016/j.aim.2009.08.018
dc.identifierhttp://dx.doi.org/10.1016/j.aim.2009.08.018
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627373
dc.description.abstractWe address two problems with the structure and representation theory of finite W-algebras associated with general linear Lie algebras. Finite W-algebras can be defined using either Kostant`s Whittaker modules or a quantum Hamiltonian reduction. Our first main result is a proof of the Gelfand-Kirillov conjecture for the skew fields of fractions of finite W-algebras. The second main result is a parameterization of finite families of irreducible Gelfand-Tsetlin modules using Gelfand-Tsetlin subalgebra. As a corollary, we obtain a complete classification of generic irreducible Gelfand-Tsetlin modules for finite W-algebras. (C) 2009 Elsevier Inc. All rights reserved.
dc.languageeng
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relationAdvances in Mathematics
dc.rightsCopyright ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.rightsrestrictedAccess
dc.subjectGelfand-Tsetlin modules
dc.subjectFinite W-algebras
dc.subjectShifted Yangian
dc.subjectGelfand-Tsetlin conjecture
dc.titleThe Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite W-algebras
dc.typeArtículos de revistas


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