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dc.contributor.authorHalverson, T
dc.contributor.authorMazzocco, M
dc.contributor.authorRam, A
dc.date.available2014-05-21T22:45:51Z
dc.date.issued2009-09-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000270417500008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=d4d813f4571fa7d6246bdc0dfeca3a1c
dc.identifier.citationHalverson, T., Mazzocco, M. & Ram, A. (2009). COMMUTING FAMILIES IN HECKE AND TEMPERLEY-LIEB ALGEBRAS. NAGOYA MATHEMATICAL JOURNAL, 195, pp.125-152. https://doi.org/10.1017/S0027763000009740.
dc.identifier.issn0027-7630
dc.identifier.urihttp://hdl.handle.net/11343/29241
dc.description.abstract<jats:title>Abstract</jats:title><jats:p>We define analogs of the Jucys-Murphy elements for the affine Temperley-Lieb algebra and give their explicit expansion in terms of the basis of planar Brauer diagrams. These Jucys-Murphy elements are a family of commuting elements in the affine Temperley-Lieb algebra, and we compute their eigenvalues on the generic irreducible representations. We show that they come from Jucys-Murphy elements in the affine Hecke algebra of type A, which in turn come from the Casimir element of the quantum group <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0027763000009740_inline1" />. We also give the explicit specializations of these results to the finite Temperley-Lieb algebra.</jats:p>
dc.languageEnglish
dc.publisherNAGOYA UNIV
dc.subjectPure Mathematics
dc.titleCOMMUTING FAMILIES IN HECKE AND TEMPERLEY-LIEB ALGEBRAS
dc.typeJournal Article
dc.identifier.doi10.1017/S0027763000009740
melbourne.peerreviewPeer Reviewed
melbourne.affiliationThe University of Melbourne
melbourne.affiliation.departmentMathematics and Statistics
melbourne.source.titleNAGOYA MATHEMATICAL JOURNAL
melbourne.source.volume195
melbourne.source.pages125-152
dc.research.codefor101
dc.description.pagestart125
melbourne.publicationid135000
melbourne.elementsid316465
melbourne.contributor.authorRam, Arun
dc.identifier.eissn2152-6842
melbourne.accessrightsThis item is currently not available from this repository


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