| dc.contributor.author | Lusztig, George | |
| dc.contributor.author | Yun, Zhiwei | |
| dc.date.accessioned | 2022-01-05T18:55:38Z | |
| dc.date.available | 2020-04-23T17:31:38Z | |
| dc.date.available | 2021-09-09T17:51:05Z | |
| dc.date.available | 2022-01-05T18:55:38Z | |
| dc.date.issued | 2013-07 | |
| dc.date.submitted | 2012-03 | |
| dc.identifier.issn | 2320-3110 | |
| dc.identifier.issn | 0970-1249 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/124838.3 | |
| dc.description.abstract | We prove a conjecture in [L11] stating that certain polynomials P-Y(sigma),(w)(q) introduced in [LV11] for twisted involutions in an affine Weyl group give ( -q)-analogues of weight multiplicities of the Langlands dual group G. We also prove that the signature of a naturally defined hermitian form on each irreducible representation of e can be expressed in terms of these polynomials P-Y(sigma),(w)(q). | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0758262) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0969470) | en_US |
| dc.language.iso | en | |
| dc.relation.isversionof | http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-014.html | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | A (-q)-analogue of weight multiplicities | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Lusztig, George and Zhiwei Yun. “A (-q)-analogue of weight multiplicities.” Journal of the Ramanujan Mathematical Society 28 (July 2013): 311-340. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Journal of the Ramanujan Mathematical Society | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dc.date.updated | 2020-03-31T17:07:08Z | |
| dspace.date.submission | 2020-03-31T17:07:11Z | |
| mit.journal.volume | 28 | en_US |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Complete | en_US |
