Sangam: A Confluence of Knowledge Streams

A (-q)-analogue of weight multiplicities

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dc.contributor Massachusetts Institute of Technology. Department of Mathematics
dc.creator Lusztig, George
dc.creator Yun, Zhiwei
dc.date 2022-01-05T18:55:38Z
dc.date 2020-04-23T17:31:38Z
dc.date 2021-09-09T17:51:05Z
dc.date 2022-01-05T18:55:38Z
dc.date 2013-07
dc.date 2012-03
dc.date 2020-03-31T17:07:08Z
dc.date.accessioned 2023-03-01T08:37:59Z
dc.date.available 2023-03-01T08:37:59Z
dc.identifier 2320-3110
dc.identifier 0970-1249
dc.identifier https://hdl.handle.net/1721.1/124838.3
dc.identifier Lusztig, George and Zhiwei Yun. “A (-q)-analogue of weight multiplicities.” Journal of the Ramanujan Mathematical Society 28 (July 2013): 311-340.
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/277151
dc.description 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).
dc.description National Science Foundation (U.S.) (Grant DMS-0758262)
dc.description National Science Foundation (U.S.) (Grant DMS-0969470)
dc.format application/octet-stream
dc.language en
dc.relation http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-014.html
dc.relation Journal of the Ramanujan Mathematical Society
dc.rights Creative Commons Attribution-Noncommercial-Share Alike
dc.rights http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.source arXiv
dc.title A (-q)-analogue of weight multiplicities
dc.type Article
dc.type http://purl.org/eprint/type/JournalArticle


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