Clifford theory for group representations /

Let N be a normal subgroup of a finite group G and let F be a field. An important method for constructing irreducible FG-modules consists of the application (perhaps repeated) of three basic operations: (i) restriction to FN. (ii) extension from FN. (iii) induction from FN. This is the `Clifford The...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Karpilovsky, Gregory, 1940-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., �1989.
Colección:North-Holland mathematics studies ; 156.
Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 125.
Temas:
Clifford algebras.
Representations of groups.
Alg�ebres de Clifford.
Repr�esentations de groupes.
MATHEMATICS > Algebra > Linear.
Clifford algebras
Representations of groups
Clifford-Algebra
Darstellungstheorie
Clifford, Alg�ebres de.
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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245 1 0 |a Clifford theory for group representations /  |c Gregory Karpilovsky. 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a New York, N.Y., U.S.A. :  |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,  |c �1989. 
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490 1 |a North-Holland mathematics studies ;  |v 156 
490 1 |a Notas de matem�atica ;  |v 125 
520 |a Let N be a normal subgroup of a finite group G and let F be a field. An important method for constructing irreducible FG-modules consists of the application (perhaps repeated) of three basic operations: (i) restriction to FN. (ii) extension from FN. (iii) induction from FN. This is the `Clifford Theory' developed by Clifford in 1937. In the past twenty years, the theory has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings and crossed products. The purpose of this monograph is to tie together various threads of the development in order to give a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate algebra course, i.e. familiarity with basic ring-theoretic, number-theoretic and group-theoretic concepts, and an understanding of elementary properties of modules, tensor products and fields. 
504 |a Includes bibliographical references (pages 343-354) and index. 
588 0 |a Print version record. 
505 0 |a Front Cover; Clifford Theory for Group Representations; Copyright Page; Preface; Contents; Chapter 1. Preliminaries; Chapter 2. Restriction to normal subgroups; Chapter 3. Induction and extension from normal subgroups; Bibliography; Notation; Index. 
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650 0 |a Representations of groups. 
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650 7 |a Darstellungstheorie  |2 gnd  |0 (DE-588)4148816-7 
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