Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds

dc.creatorLauret, Emilio Agustin
dc.date.accessioned2018-01-02T13:23:05Z
dc.date.available2018-01-02T13:23:05Z
dc.date.created2018-01-02T13:23:05Z
dc.date.issued2014-06
dc.identifierLauret, Emilio Agustin; Representation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds; Canadian Mathematical Soc; Canadian Mathematical Bulletin-bulletin Canadien de Mathematiques; 57; 2; 6-2014; 357-363
dc.identifier0008-4395
dc.identifierhttp://hdl.handle.net/11336/31945
dc.identifierCONICET Digital
dc.identifierCONICET
dc.description.abstractLet Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation equivalent; that is, the right regular representations L2(Γ1\G) and L2(Γ2\G) are unitarily equivalent.
dc.languageeng
dc.publisherCanadian Mathematical Soc
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://cms.math.ca/10.4153/CMB-2013-013-2
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4153/CMB-2013-013-2
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectRepresentation Equivalent
dc.subjectStrongly Isospectrality
dc.subjectCompact Flat Manifolds
dc.titleRepresentation Equivalent Bieberbach Groups and Strongly Isospectral Flat Manifolds
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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