| dc.contributor.author | Lusztig, George | |
| dc.contributor.author | Yun, Zhiwei | |
| dc.date.accessioned | 2021-10-27T20:24:24Z | |
| dc.date.available | 2021-10-27T20:24:24Z | |
| dc.date.issued | 2018 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/135640 | |
| dc.description.abstract | © 2018 American Mathematical Society. In this paper we construct representations of certain graded double affine Hecke algebras (DAHA) with possibly unequal parameters from geometry. More precisely, starting with a simple Lie algebra g together with a ℤ/mℤ-grading ⊕i∈ℤ/mℤ gi and a block of DG0 (gi) as introduced in [J. Represent. Theory 21 (2017), pp. 277-321], we attach a graded DAHA and construct its action on the direct sum of spiral inductions in that block. This generalizes results of Vasserot [Duke Math J. 126 (2005), pp. 251-323] and Oblomkov- Yun [Adv. Math 292 (2016), pp. 601-706] which correspond to the case of the principal block. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.relation.isversionof | 10.1090/ERT/515 | |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | |
| dc.source | American Mathematical Society | |
| dc.title | ℤ/����ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra | |
| dc.type | Article | |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.relation.journal | Representation Theory of the American Mathematical Society | |
| dc.eprint.version | Final published version | |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | |
| dc.date.updated | 2019-11-14T18:55:19Z | |
| dspace.orderedauthors | Lusztig, G; Yun, Z | |
| dspace.date.submission | 2019-11-14T18:55:22Z | |
| mit.journal.volume | 22 | |
| mit.journal.issue | 4 | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
