Remarks on the faithfulness of the Jones representations

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dc.creatorKasahara, Yasushi
dc.date2008-03-03
dc.date.accessioned2026-07-07T09:24:24Z
dc.date.available2026-07-07T09:24:24Z
dc.descriptionWe consider the linear representations of the mapping class group of an n-punctured 2-sphere constructed by V. F. R. Jones using Iwahori-Hecke algebras of type A. We show that their faithfulness is equivalent to that of certain related Iwahori-Hecke algebra representation of Artin's braid group of n-1 strands. In the case of n=6, we provide a further restriction for the kernel using our previous result, as well as a certain relation to the Burau representation of degree 4.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0803.0304
dc.identifierhttp://arxiv.org/abs/0803.0304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156081
dc.subjectGeometric Topology
dc.titleRemarks on the faithfulness of the Jones representations
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