Abstract
Abstract
We show that a certain category of bimodules over a finite-dimensional quiver algebra known as a type B zigzag algebra is a quotient category of the category of type B Soergel bimodules. This leads to an alternate proof of Rouquier’s conjecture on the faithfulness of the 2-braid groups for type B.
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. Braid groups and Kleinian singularities
2. [Jen14] Jensen, L. T. , ‘Categorification of Braid Groups’, MA Thesis, Mathematisch-Naturwissen-schaftliche Fakultat Der Rheinischen Friedrich-Wilhelms-Universitat Bonn, 2014.
3. The combinatorics of Harish–Chandra bimodules;Soergel;J. reine angew. Math.,1992
4. The Burau representation is not faithful forn= 5
5. Braid cobordisms, triangulated categories, and flag varieties