dc.contributor.author | Lusztig, George | |
dc.date.accessioned | 2018-05-24T18:09:32Z | |
dc.date.available | 2018-05-24T18:09:32Z | |
dc.date.issued | 2014 | |
dc.identifier.isbn | 9780821891704 | |
dc.identifier.isbn | 9781470415235 | |
dc.identifier.issn | 0271-4132 | |
dc.identifier.issn | 1098-3627 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/115861 | |
dc.description.abstract | In [11], a Hecke algebra module structure on a vector space spanned by
the involutions in a Weyl group was defined and studied. In this paper this study is continued by relating it to the asymptotic Hecke algebra introduced in [6]. In particular we define a module over the asymptotic Hecke algebra which is spanned by the involutions in the Weyl group. We present a conjecture relating this module to equivariant vector bundles with respect to a group action on a finite set. This gives an explanation (not a proof) of a result of Kottwitz [3] in the case of classical Weyl groups, see 2.5. We also present a conjecture which realizes the module in [11] terms of an ideal in the Hecke algebra generated by a single element, see 3.4. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-0758262) | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1090/conm/610/12156 | en_US |
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. | en_US |
dc.source | American Mathematical Society | en_US |
dc.title | Asymptotic Hecke algebras and involutions | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Lusztig, G. “Asymptotic Hecke Algebras and Involutions.” Contemporary Mathematics (2014): 267–278 © 2014 American Mathematical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Lusztig, George | |
dc.relation.journal | Perspectives in Representation Theory | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2018-05-24T17:57:29Z | |
dspace.orderedauthors | Lusztig, G. | en_US |
dspace.embargo.terms | N | en_US |
dc.identifier.orcid | https://orcid.org/0000-0001-9414-6892 | |
mit.license | PUBLISHER_POLICY | en_US |