Finite Linear Quotients of $\B_3$ of Low Dimension

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dc.creatorRowell, Eric C.
dc.creatorTuba, Imre
dc.date2008-06-01
dc.date.accessioned2026-07-07T09:42:09Z
dc.date.available2026-07-07T09:42:09Z
dc.descriptionWe study the problem of deciding whether or not the image of an irreducible representation of the braid group $\B_3$ of degree $\leq 5$ has finite image if we are only given the eigenvalues of a generator. We provide a partial algorithm that determines when the images are finite or infinite in all but finitely many cases, and use these results to study examples coming from quantum groups. Our technique uses two classification theorems and the computational group theory package GAP.
dc.identifierhttps://arxiv.org/abs/0806.0168
dc.identifierhttp://arxiv.org/abs/0806.0168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162076
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject20F36 (Primary) 20C15 (Secondary)
dc.titleFinite Linear Quotients of $\B_3$ of Low Dimension
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