Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n

Mackaay, Marco; Thiel, Anne-Laure

http://hdl.handle.net/10400.1/13344

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Authors

Mackaay, Marco

Thiel, Anne-Laure

Abstract(s)

We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3 <= r < n, 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].