On Krammer's Representation of the Braid Group

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dc.creatorZinno, Matthew G.
dc.date2000-02-16
dc.date.accessioned2026-07-07T04:33:55Z
dc.date.available2026-07-07T04:33:55Z
dc.descriptionA connection is made between the Krammer representation and the Birman-Murakami-Wenzl algebra. Inspired by a dimension argument, a basis is found for a certain irrep of the algebra, and relations which generate the matrices are found. Following a rescaling and change of parameters, the matrices are found to be identical to those of the Krammer representation. The two representations are thus the same, proving the irreducibility of one and the faithfulness of the other.
dc.description15 pages, 4 figures. Submitted to Math Research Letters
dc.identifierhttps://arxiv.org/abs/math/0002136
dc.identifierhttp://arxiv.org/abs/math/0002136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58708
dc.subjectRepresentation Theory
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F36 (Primary) 20C15, 16K20 (Secondary)
dc.titleOn Krammer's Representation of the Braid Group
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