dc.creator | Mínguez Espallargas, Alberto | es |
dc.date.accessioned | 2016-10-17T09:59:39Z | |
dc.date.available | 2016-10-17T09:59:39Z | |
dc.date.issued | 2012-01 | |
dc.identifier.citation | Mínguez Espallargas, A. (2012). The conservation relation for cuspidal representations. Mathematische Annalen, 352, 179-188. | |
dc.identifier.issn | 0025-5831 | es |
dc.identifier.issn | 1432-1807 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47611 | |
dc.description.abstract | Let π ∈ Cusp (U(Vn)) be a smooth cuspidal irreducible representation of a unitary group U(Vn) of dimension n over a non-Archimedean locally compact field. Let W± m the two isomorphism classes of Hermitian spaces of dimension m, and the denote by τ + ∈ Cusp U(W+m+) and τ− ∈ Cusp
U(W−m−) the first non-zero theta lifts of π. In this article we prove that m+ + m− = 2n + 2, which was conjectured in [M. Harris, S. S. Kudla, J. Sweet, Theta dichotomy for unitary groups, Journal of the AMS, vol. 9, pp. 941-1004 (1996), Speculations 7.5 and 7.6]. We prove similar equalities for the other dual pairs of type I : the symplecticorthogonal dual pairs and the quaternionic dual pairs. | en |
dc.description.sponsorship | Engineering and Physical Sciences Research Council | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Mathematische Annalen, 352, 179-188. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Theta correspondence | es |
dc.subject | Theta dichotomy | es |
dc.subject | Representations of p-adic groups | es |
dc.title | The conservation relation for cuspidal representations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | EP/G001480/1 | es |
dc.relation.projectID | MTM2007-66929 | es |
dc.relation.publisherversion | http://download.springer.com/static/pdf/815/art%253A10.1007%252Fs00208-011-0636-5.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00208-011-0636-5&token2=exp=1476699055~acl=%2Fstatic%2Fpdf%2F815%2Fart%25253A10.1007%25252Fs00208-011-0636-5.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00208-011-0636-5*~hmac=6ebcf1e2065a58cce51783f8568e93e8f521355eb5a589b8f3117058045af791 | es |
dc.identifier.doi | 10.1007/s00208-011-0636-5 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 12 p. | es |
dc.journaltitle | Mathematische Annalen | es |
dc.publication.volumen | 352 | es |
dc.publication.initialPage | 179 | es |
dc.publication.endPage | 188 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47611 | |