Categorification of the braid groups

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dc.creatorRouquier, Raphael
dc.date2004-09-30
dc.date.accessioned2026-07-07T05:12:44Z
dc.date.available2026-07-07T05:12:44Z
dc.descriptionWe construct a categorification of the braid groups associated with Coxeter groups inside the homotopy category of Soergel's bimodules. Classical actions of braid groups on triangulated categories should come from an action of this monoidal category. We construct representations of this monoidal category on category O of a complex semi-simple Lie algebra and on constructible sheaves over flag varieties. We also consider general constructions of self-equivalences as reflections around another category.
dc.identifierhttps://arxiv.org/abs/math/0409593
dc.identifierhttp://arxiv.org/abs/math/0409593
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72686
dc.subjectRepresentation Theory
dc.titleCategorification of the braid groups
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