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arXiv · 1302.3102

Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n,r) for 2 < r < n

Marco Mackaay·Anne-Laure Thiel
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Abstract

We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n,r) for 2 < r < n, using Elias-Khovanov and Khovanov-Lauda type diagrams. We also define the affine analogue of the Elias-Khovanov and the Khovanov-Lauda 2-representations of these categorifications into an extension of the 2-category of affine (singular) Soergel bimodules.

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Marco Mackaay, Anne-Laure Thiel. 2013-02-13. Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n,r) for 2 < r < n. https://arxiv.org/abs/1302.3102

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