ENGLISH

Clifford Theory for Group Representations

By Gregory Karpilovsky

Book information

Publisher
Elsevier Science Ltd
Year
1989
ISBN
0444873775, 9780444873774
ISSN
0924-6509
LCC
QA1 .N86 no. 125,QA199 .N86 no. 125
Open Library ID
OL2185296M
Language
english
Format
PDF
Filesize
14 MB (14733719 bytes)
Series
North-Holland Mathematical Library 156
Pages
375\375
Time added
2011-01-06 10:13:16

Description

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.

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