Braid Group Actions and Tensor Products

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dc.creatorChari, Vyjayanthi
dc.date2001-06-28
dc.date.accessioned2026-07-07T04:42:21Z
dc.date.available2026-07-07T04:42:21Z
dc.descriptionWe define an action of the braid group of a simple Lie algebra on the space of imaginary roots in the corresponding quantum affine algebra. We then use this action to determine an explicit condition for a tensor product of arbitrary irreducible finite--dimensional representations is cyclic. This allows us to determine the set of points at which the corresponding $R$--matrix has a zero.
dc.descriptionThis paper is an expanded version of math.qa/0012116. The results are stronger, and the conditions implied by the braid group action are made explicit
dc.identifierhttps://arxiv.org/abs/math/0106241
dc.identifierhttp://arxiv.org/abs/math/0106241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61746
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleBraid Group Actions and Tensor Products
dc.typetext

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