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

被引：9
|
作者：
Mackaay, Marco [1 ,2 ]
Thiel, Anne-Laure [3 ]
机构：
[1] CAMGSD, Campus Gambelas, P-8005139 Faro, Portugal
[2] Univ Algarve, Dept Matemat, FCT, Campus Gambelas, P-8005139 Faro, Portugal
[3] Uppsala Univ, Inst Matemat, S-75106 Uppsala, Sweden
来源：
QUANTUM TOPOLOGY | 2017年 / 8卷 / 01期
关键词：
Categorification; affine Schur algebras; affine Hecke algebras; quantum algebra; REPRESENTATIONS;
D O I：
10.4171/QT/88
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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].
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页码：113 / 203
页数：91
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