Shifted Yangians and finite W-algebras

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dc.creatorBrundan, Jonathan
dc.creatorKleshchev, Alexander
dc.date2004-07-01
dc.date2004-11-18
dc.date.accessioned2026-07-07T06:30:50Z
dc.date.available2026-07-07T06:30:50Z
dc.descriptionWe give a presentation for the finite W-algebra associated to a nilpotent matrix inside the general linear Lie algebra over C. In the special case that the nilpotent matrix consists of n Jordan blocks each of the same size l, the presentation is that of the Yangian of level l associated to the Lie algebra gl_n, as was first observed by Ragoucy and Sorba. In the general case, we are lead to introduce some generalizations of the Yangian which we call the shifted Yangians.
dc.description48 pages. Some notational changes, Corollary 11.11 added. To appear in Advances in Math
dc.identifierhttps://arxiv.org/abs/math/0407012
dc.identifierhttp://arxiv.org/abs/math/0407012
dc.identifierAdvances Math. 200 (2006), 136--195.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98444
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.subject17B37
dc.titleShifted Yangians and finite W-algebras
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