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].

引用

页码：113 / 203

页数：91

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