Categorification of the braid groups - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2004

Categorification of the braid groups

Raphael Rouquier
  • Fonction : Auteur
  • PersonId : 828395

Résumé

We 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.
Fichier principal
Vignette du fichier
2braid.hal.pdf (288.15 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00002981 , version 1 (30-09-2004)

Identifiants

Citer

Raphael Rouquier. Categorification of the braid groups. 2004. ⟨hal-00002981⟩
69 Consultations
155 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More