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

2013/02/13 by Marco Mackaay, Mackaay, Marco, Anne‐Laure Thiel +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1302.3102

openalex publication_date 2013/02/13 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n,r) for 2 &lt; r &lt; 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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