THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD

Let 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 t...

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Autores principales:	ABURTO,LUISA, JOHNSON,ROBERTO, PANTOJA,JOSÉ
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2006
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300007
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spelling	oai:scielo:S0716-091720060003000072007-03-21THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELDABURTO,LUISAJOHNSON,ROBERTOPANTOJA,JOSÉLet 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 Ginfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.3 20062006-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300007en10.4067/S0716-09172006000300007
institution	Scielo Chile
collection	Scielo Chile
language	English
description	Let 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
author	ABURTO,LUISA JOHNSON,ROBERTO PANTOJA,JOSÉ
spellingShingle	ABURTO,LUISA JOHNSON,ROBERTO PANTOJA,JOSÉ THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD
author_facet	ABURTO,LUISA JOHNSON,ROBERTO PANTOJA,JOSÉ
author_sort	ABURTO,LUISA
title	THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD
title_short	THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD
title_full	THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD
title_fullStr	THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD
title_full_unstemmed	THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD
title_sort	complex linear representations of gl(2, k), k a finite field
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2006
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000300007
work_keys_str_mv	AT aburtoluisa thecomplexlinearrepresentationsofgl2kkafinitefield AT johnsonroberto thecomplexlinearrepresentationsofgl2kkafinitefield AT pantojajose thecomplexlinearrepresentationsofgl2kkafinitefield AT aburtoluisa complexlinearrepresentationsofgl2kkafinitefield AT johnsonroberto complexlinearrepresentationsofgl2kkafinitefield AT pantojajose complexlinearrepresentationsofgl2kkafinitefield
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THE COMPLEX LINEAR REPRESENTATIONS OF GL(2, k), k A FINITE FIELD

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