dc.creator | Mínguez Espallargas, Alberto | es |
dc.date.accessioned | 2016-10-17T10:18:53Z | |
dc.date.available | 2016-10-17T10:18:53Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Mínguez Espallargas, A. (2013). Représentations banales de GLm(D). Compositio Mathematica, 149, 679-704. | |
dc.identifier.issn | 0010-437X | es |
dc.identifier.issn | 1570-5846 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47615 | |
dc.description.abstract | Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. We define banal irreducible R-representations of the group G = GLm(D). This notion involves a condition on the cuspidal support of the representation depending on the
characteristic of R. When this characteristic is banal with respect to G, in particular when R is the field of complex numbers, any irreducible R-representation of G is banal. In this article, we give a classification of all banal irreducible R-representations of G in terms of certain multisegments,
called banal. When R is the field of complex numbers, our method provides a new proof, entirely local, of Tadi´c’s classification of irreducible complex smooth representations of G. | es |
dc.description.sponsorship | Engineering and Physical Sciences Research Council | es |
dc.description.sponsorship | Agence Nationale de la Recherche | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | fra | es |
dc.publisher | Foundation Compositio Mathematica | es |
dc.relation.ispartof | Compositio Mathematica, 149, 679-704. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Representations of p-adic groups | es |
dc.subject | Modular representation | es |
dc.subject | Multisegment | es |
dc.subject | Banal representation | es |
dc.title | Représentations banales de GLm(D) | es |
dc.type | info:eu-repo/semantics/article | es |
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 | GR/T21714/01 | es |
dc.relation.projectID | EP/G001480/1 | es |
dc.relation.projectID | ANR-08-BLAN-0259-01 | es |
dc.relation.projectID | ANR-10-BLANC-0114 | es |
dc.relation.projectID | MTM2007-66929 | es |
dc.relation.projectID | MTM2010-19298 | es |
dc.relation.publisherversion | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/808089B4700ECDAE57D1179C0D48DB1A/S0010437X12000590a.pdf/representations-banales-de-rm-gl-m-rm-d.pdf | es |
dc.identifier.doi | 10.1112/S0010437X12000590 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 27 p. | es |
dc.journaltitle | Compositio Mathematica | es |
dc.publication.volumen | 149 | es |
dc.publication.initialPage | 679 | es |
dc.publication.endPage | 704 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47615 | |