Algebraic structures behind Hilbert schemes and wreath products

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dc.creatorWang, Weiqiang
dc.date2000-11-15
dc.date2002-09-01
dc.date.accessioned2026-07-07T04:38:36Z
dc.date.available2026-07-07T04:38:36Z
dc.descriptionIn this paper we review various strikingly parallel algebraic structures behind Hilbert schemes of points on surfaces and certain finite groups called the wreath products. We explain connections among Hilbert schemes, wreath products, infinite-dimensional Lie algebras, and vertex algebras. As an application we further describe the cohomology ring structure of the Hilbert schemes. We organize this exposition around several general principles which have been supported by various works on these subjects.
dc.description25 pages, amsLaTex, references updated, journal version
dc.identifierhttps://arxiv.org/abs/math/0011103
dc.identifierhttp://arxiv.org/abs/math/0011103
dc.identifierContemp.Math. 297 (2002) 271-295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60344
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleAlgebraic structures behind Hilbert schemes and wreath products
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