Categorification of the virtual braid groups
[Catégorification des groupes de tresses virtuelles]
Thiel, Anne-Laure1
1 Institut de Recherche Mathématique Avancée, Université de Strasbourg et CNRS 7 rue René Descartes, F–67084 Strasbourg Cedex, France
Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, pp. 231-243.

Nous généralisons la catégorification des groupes de tresses par complexes de bimodules de Soergel due à Rouquier aux groupes de tresses virtuelles.

We extend Rouquier’s categorification of the braid groups by complexes of Soergel bimodules to the virtual braid groups.

DOI : 10.5802/ambp.297
Classification : 20F36, 05E10, 05E18, 13D99, 18G35
Keywords: braid group, virtual braid, categorification
Mot clés : groupe de tresses, tresse virtuelle, catégorification
Thiel, Anne-Laure 1

1 Institut de Recherche Mathématique Avancée, Université de Strasbourg et CNRS 7 rue René Descartes, F–67084 Strasbourg Cedex, France 
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Thiel, Anne-Laure. Categorification of the virtual braid groups. Annales mathématiques Blaise Pascal, Tome 18 (2011) no. 2, pp. 231-243. doi : 10.5802/ambp.297. http://www.numdam.org/articles/10.5802/ambp.297/

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