{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T10:17:45Z","timestamp":1773224265530,"version":"3.50.1"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quantum Topol."],"accepted":{"date-parts":[[2015,2,22]]},"published-print":{"date-parts":[[2017,3,23]]},"abstract":"<jats:p>\n            We categorify the extended affine Hecke algebra and the affine quantum Schur algebra \n            <jats:inline-formula>\n              <jats:tex-math>\\widehat {\\mathbf S} (n,r)<\/jats:tex-math>\n            <\/jats:inline-formula>\n             for \n            <jats:inline-formula>\n              <jats:tex-math>3 \\leq r &lt; n<\/jats:tex-math>\n            <\/jats:inline-formula>\n            , using results on diagrammatic categorification in affine type A by Elias\u2013Williamson, that extend the work of Elias\u2013Khovanov for finite type A, and Khovanov\u2013Lauda 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].\n          <\/jats:p>","DOI":"10.4171\/qt\/88","type":"journal-article","created":{"date-parts":[[2017,3,23]],"date-time":"2017-03-23T22:47:23Z","timestamp":1490309243000},"page":"113-203","source":"Crossref","is-referenced-by-count":8,"title":["Categorifications of the extended affine Hecke algebra and the affine $q$-Schur algebra $\\widehat {\\mathbf S} (n,r)$ for $3 \\leq r &lt; n$"],"prefix":"10.4171","volume":"8","author":[{"given":"Marco","family":"Mackaay","sequence":"first","affiliation":[{"name":"Universidade do Algarve, Faro, Portugal"}]},{"given":"Anne-Laure","family":"Thiel","sequence":"additional","affiliation":[{"name":"University of Uppsala, Sweden"}]}],"member":"2673","container-title":["Quantum Topology"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/QT\/88","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T18:45:19Z","timestamp":1729536319000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/qt\/88"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,3,23]]},"references-count":0,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.4171\/qt\/88","relation":{},"ISSN":["1663-487X","1664-073X"],"issn-type":[{"value":"1663-487X","type":"print"},{"value":"1664-073X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,3,23]]}}}