Homological representations of the Iwahori-Hecke algebra

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dc.creatorBigelow, Stephen
dc.date2004-12-28
dc.date.accessioned2026-07-07T05:15:40Z
dc.date.available2026-07-07T05:15:40Z
dc.descriptionRepresentations of the Iwahori-Hecke algebra of type A_{n-1} are equivalent to representations of the braid group B_n for which the generators satisfy a certain quadratic relation. We show how to construct such representations from the natural action of B_n on the homology of configuration spaces of the punctured disk. We conjecture that all irreducible representations of Hecke_n can be obtained in this way, even for non-generic values of q.
dc.descriptionPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper16.abs.html
dc.identifierhttps://arxiv.org/abs/math/0412516
dc.identifierhttp://arxiv.org/abs/math/0412516
dc.identifierGeom. Topol. Monogr. 7 (2004) 493-507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73710
dc.subjectQuantum Algebra
dc.subjectGeometric Topology
dc.subject20C08, 20F36, 57M07
dc.titleHomological representations of the Iwahori-Hecke algebra
dc.typetext

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