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The complex linear representations of GL(2, k), k a finite field

dc.creatorAburto-Hageman, Luisa
dc.creatorJohnson, Roberto
dc.creatorPantoja, José
dc.date2017-05-08
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1539
dc.identifier10.4067/S0716-09172006000300007
dc.descriptionLet k be a finite field of odd characteristic, and let G be the group of all invertible 2 × 2 matrices over k. We construct the irreducible complex linear representations of the group G.The constructions lean on the method of induction from subgroups and on the theory of characters. To accomplish this goal, the basic facts from the theory of representations and characters of finite groups are presented. Furthermore, we describe the structure of G that we need, and the theory of representations of some subgroups of G that we use. As a final result, we obtain the theory of the irreducible representations of G,by describing either the irreducible representations of , or the irreducible characters of the group G.es-ES
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1539/2394
dc.rightsCopyright (c) 2006 Proyecciones. Journal of Mathematicsen-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 25 No. 3 (2006); 307-329en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 25 Núm. 3 (2006); 307-329es-ES
dc.source0717-6279
dc.subjectComplex linear representationses-ES
dc.subjectfinite groupses-ES
dc.subjecttheory of group representationses-ES
dc.subjectrepresentaciones lineales complejases-ES
dc.subjectgrupos finitoses-ES
dc.subjectteoría de representaciones de grupos.es-ES
dc.titleThe complex linear representations of GL(2, k), k a finite fieldes-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US


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