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arXiv · 1008.1348

A diagrammatic categorification of the q-Schur algebra

Marco Mackaay·Marko Stosic·Pedro Vaz
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Abstract

In this paper we categorify the q-Schur algebra S(n,d) as a quotient of Khovanov and Lauda's diagrammatic 2-category U(sln). We also show that our 2-category contains Soergel's monoidal category of bimodules of type A, which categorifies the Hecke algebra H(d), as a full sub-2-category if d does not exceed n. For the latter result we use Elias and Khovanov's diagrammatic presentation of Soergel's monoidal category of type A.

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Marco Mackaay, Marko Stosic, Pedro Vaz. 2010-08-07. A diagrammatic categorification of the q-Schur algebra. https://arxiv.org/abs/1008.1348

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