The crystal commutor and Drinfeld's unitarized R-matrix

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dc.creatorKamnitzer, Joel
dc.creatorTingley, Peter
dc.date2007-07-16
dc.date2008-03-30
dc.date.accessioned2026-07-07T09:28:56Z
dc.date.available2026-07-07T09:28:56Z
dc.descriptionDrinfeld defined a unitarized R-matrix for any quantum group U_q(g). This gives a commutor for the category of U_q(g) representations, making it into a coboundary category. Henriques and Kamnitzer defined another commutor which also gives U_q(g) representations the structure of a coboundary category. We show that a particular case of Henriques and Kamnitzer's construction agrees with Drinfeld's commutor. We then describe the action of Drinfeld's commutor on a tensor product of two crystal bases, and explain the relation to the crystal commutor.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0707.2248
dc.identifierhttp://arxiv.org/abs/0707.2248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157606
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.titleThe crystal commutor and Drinfeld's unitarized R-matrix
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