A geometric categorification of tensor products of $U_q(sl_2)$-modules

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dc.creatorZheng, Hao
dc.date2007-05-18
dc.date2007-06-09
dc.date.accessioned2026-07-07T08:09:19Z
dc.date.available2026-07-07T08:09:19Z
dc.descriptionWe give a purely geometric categorification of tensor products of finite-dimensional simple $U_q(sl_2)$-modules and $R$-matrices on them. The work is developed in the framework of category of perverse sheaves and the categorification theorems are understood as consequences of Deligne's theory of weights.
dc.description44pages, made up some mistakes in the proof of Theorem 4.2.4
dc.identifierhttps://arxiv.org/abs/0705.2630
dc.identifierhttp://arxiv.org/abs/0705.2630
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131504
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37; 18F20; 14M15
dc.titleA geometric categorification of tensor products of $U_q(sl_2)$-modules
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