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dc.contributor.authorLusztig, George
dc.date.accessioned2018-05-24T18:09:32Z
dc.date.available2018-05-24T18:09:32Z
dc.date.issued2014
dc.identifier.isbn9780821891704
dc.identifier.isbn9781470415235
dc.identifier.issn0271-4132
dc.identifier.issn1098-3627
dc.identifier.urihttp://hdl.handle.net/1721.1/115861
dc.description.abstractIn [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.sponsorshipNational Science Foundation (U.S.) (Grant DMS-0758262)en_US
dc.publisherAmerican Mathematical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1090/conm/610/12156en_US
dc.rightsArticle 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.sourceAmerican Mathematical Societyen_US
dc.titleAsymptotic Hecke algebras and involutionsen_US
dc.typeArticleen_US
dc.identifier.citationLusztig, G. “Asymptotic Hecke Algebras and Involutions.” Contemporary Mathematics (2014): 267–278 © 2014 American Mathematical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorLusztig, George
dc.relation.journalPerspectives in Representation Theoryen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-05-24T17:57:29Z
dspace.orderedauthorsLusztig, G.en_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0001-9414-6892
mit.licensePUBLISHER_POLICYen_US


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