A Temperley-Lieb analogue for the BMW algebra

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dc.creatorLehrer, G. I.
dc.creatorZhang, R. B.
dc.date2008-06-04
dc.date.accessioned2026-07-07T09:42:37Z
dc.date.available2026-07-07T09:42:37Z
dc.descriptionThe Temperley-Lieb algebra may be thought of as a quotient of the Hecke algebra of type A, acting on tensor space as the commutant of the usual action of quantum sl(2) on the n-th tensor power of the 2-dimensional irreducible module. We define and study a quotient of the Birman-Wenzl-Murakami algebra, which plays an analogous role for the 3-dimensional representation of quantum sl(2). In the course of the discussion we prove some general results about the radical of a cellular algebra, which may be of independent interest.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0806.0687
dc.identifierhttp://arxiv.org/abs/0806.0687
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162249
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B10, 17B37
dc.titleA Temperley-Lieb analogue for the BMW algebra
dc.typetext

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