Categorifications of the extended affine Hecke algebra and the affine -Schur algebra for
Marco Mackaay
Universidade do Algarve, Faro, PortugalAnne-Laure Thiel
University of Uppsala, Sweden
![Categorifications of the extended affine Hecke algebra and the affine $q$-Schur algebra $\widehat {\mathbf S} (n,r)$ for $3 \leq r < n$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-qt-volume-8-issue-1.png&w=3840&q=90)
Abstract
We categorify the extended affine Hecke algebra and the affine quantum Schur algebra for , using results on diagrammatic categorification in affine type A by Elias–Williamson, that extend the work of Elias–Khovanov for finite type A, and Khovanov–Lauda respectively. We also define 2-representations of these categorifications on an extension of the 2-category of affine (singular) Soergel bimodules. These results are the affine analogue of the results in [28].
Cite this article
Marco Mackaay, Anne-Laure Thiel, Categorifications of the extended affine Hecke algebra and the affine -Schur algebra for . Quantum Topol. 8 (2017), no. 1, pp. 113–203
DOI 10.4171/QT/88