Clifford theory for group representations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Amsterdam
North-Holland
c1989
|
| Series: | North-Holland mathematics studies
156 Notas de matemática (Rio de Janeiro, Brazil) no. 125 |
| Subjects: | |
| Online Access: | Volltext |
| Item 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 Includes bibliographical references (p. [343]-354) and index |
| Physical Description: | 1 Online-Ressource (x, 364 p.) |
| ISBN: | 9780444873774 0444873775 9780080872674 0080872670 1281790575 9781281790576 |
Staff View
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| 500 | |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 | ||
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| indexdate | 2024-07-10T01:18:16Z |
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| spelling | Karpilovsky, Gregory Verfasser aut Clifford theory for group representations Gregory Karpilovsky Amsterdam North-Holland c1989 1 Online-Ressource (x, 364 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 156 Notas de matemática (Rio de Janeiro, Brazil) no. 125 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 Includes bibliographical references (p. [343]-354) and index Clifford, Algèbres de ram Représentations de groupes ram Clifford algebras fast Representations of groups fast MATHEMATICS / Algebra / Linear bisacsh Algèbre Clifford Représentation groupe Algèbre groupe Produit croisé Extension groupe Clifford-Algebra swd Darstellungstheorie swd Clifford algebras Representations of groups Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 s Darstellungstheorie (DE-588)4148816-7 s 1\p DE-604 Gruppe Mathematik (DE-588)4022379-6 s 2\p DE-604 Darstellung Mathematik (DE-588)4128289-9 s 3\p DE-604 http://www.sciencedirect.com/science/book/9780444873774 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Karpilovsky, Gregory Clifford theory for group representations Clifford, Algèbres de ram Représentations de groupes ram Clifford algebras fast Representations of groups fast MATHEMATICS / Algebra / Linear bisacsh Algèbre Clifford Représentation groupe Algèbre groupe Produit croisé Extension groupe Clifford-Algebra swd Darstellungstheorie swd Clifford algebras Representations of groups Gruppe Mathematik (DE-588)4022379-6 gnd Darstellungstheorie (DE-588)4148816-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Clifford-Algebra (DE-588)4199958-7 gnd |
| subject_GND | (DE-588)4022379-6 (DE-588)4148816-7 (DE-588)4128289-9 (DE-588)4199958-7 |
| title | Clifford theory for group representations |
| title_auth | Clifford theory for group representations |
| title_exact_search | Clifford theory for group representations |
| title_full | Clifford theory for group representations Gregory Karpilovsky |
| title_fullStr | Clifford theory for group representations Gregory Karpilovsky |
| title_full_unstemmed | Clifford theory for group representations Gregory Karpilovsky |
| title_short | Clifford theory for group representations |
| title_sort | clifford theory for group representations |
| topic | Clifford, Algèbres de ram Représentations de groupes ram Clifford algebras fast Representations of groups fast MATHEMATICS / Algebra / Linear bisacsh Algèbre Clifford Représentation groupe Algèbre groupe Produit croisé Extension groupe Clifford-Algebra swd Darstellungstheorie swd Clifford algebras Representations of groups Gruppe Mathematik (DE-588)4022379-6 gnd Darstellungstheorie (DE-588)4148816-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Clifford-Algebra (DE-588)4199958-7 gnd |
| topic_facet | Clifford, Algèbres de Représentations de groupes Clifford algebras Representations of groups MATHEMATICS / Algebra / Linear Algèbre Clifford Représentation groupe Algèbre groupe Produit croisé Extension groupe Clifford-Algebra Darstellungstheorie Gruppe Mathematik Darstellung Mathematik |
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