Subregular representations of $\sl_n$ and simple singularities of type $A_{n-1}$

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dc.creatorGordon, Iain
dc.creatorRumynin, Dmitriy
dc.date2001-01-15
dc.date.accessioned2026-07-07T04:39:40Z
dc.date.available2026-07-07T04:39:40Z
dc.descriptionAlexander Premet has stated the following problem: what is a relation between subregular nilpotent representations of a classical semisimple restricted Lie algebra and non-commutative deformations of the corresponding singularities? We solve this problem for type $A$. Using the McKay correspondence, we relate the solution to bases in equivariant $K$-theory introduced by Lusztig.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0101123
dc.identifierhttp://arxiv.org/abs/math/0101123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60760
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject17B50, 14J17, 16S32, 18F30
dc.titleSubregular representations of $\sl_n$ and simple singularities of type $A_{n-1}$
dc.typetext

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