Polynomial invariants of finite groups:
This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds....
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1993
|
| Schriftenreihe: | London Mathematical Society lecture note series
190 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. Thus the book should be accessible to graduate students. In detail, the book contains an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring which ramify over the invariants. Also included is a new proof by Crawley-Boevey and the author of the Carlisle-Kropholler conjecture. This volume will appeal to all algebraists, but especially those working in representation theory, group theory, and commutative or homological algebra |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (ix, 118 pages) |
| ISBN: | 9780511565809 |
| DOI: | 10.1017/CBO9780511565809 |
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| 100 | 1 | |a Benson, D. J. |d 1955- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Polynomial invariants of finite groups |c D.J. Benson |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1993 | |
| 300 | |a 1 online resource (ix, 118 pages) | ||
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| 490 | 0 | |a London Mathematical Society lecture note series |v 190 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. Thus the book should be accessible to graduate students. In detail, the book contains an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring which ramify over the invariants. Also included is a new proof by Crawley-Boevey and the author of the Carlisle-Kropholler conjecture. This volume will appeal to all algebraists, but especially those working in representation theory, group theory, and commutative or homological algebra | ||
| 650 | 4 | |a Invariants | |
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Divisor theory | |
| 650 | 0 | 7 | |a Invariante |0 (DE-588)4128781-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Endliche Gruppe |0 (DE-588)4014651-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Endliche Gruppe |0 (DE-588)4014651-0 |D s |
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Datensatz im Suchindex
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| author | Benson, D. J. 1955- |
| author_facet | Benson, D. J. 1955- |
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| author_sort | Benson, D. J. 1955- |
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| bvnumber | BV043942135 |
| classification_rvk | SI 320 SK 260 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511565809 (OCoLC)967681632 (DE-599)BVBBV043942135 |
| dewey-full | 512./5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512./5 |
| dewey-search | 512./5 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511565809 |
| format | Electronic eBook |
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| id | DE-604.BV043942135 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511565809 |
| language | English |
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| physical | 1 online resource (ix, 118 pages) |
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| spelling | Benson, D. J. 1955- Verfasser aut Polynomial invariants of finite groups D.J. Benson Cambridge Cambridge University Press 1993 1 online resource (ix, 118 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 190 Title from publisher's bibliographic system (viewed on 05 Oct 2015) This is the first book to deal with invariant theory and the representations of finite groups. By restricting attention to finite groups Dr Benson is able to avoid recourse to the technical machinery of algebraic groups, and he develops the necessary results from commutative algebra as he proceeds. Thus the book should be accessible to graduate students. In detail, the book contains an account of invariant theory for the action of a finite group on the ring of polynomial functions on a linear representation, both in characteristic zero and characteristic p. Special attention is paid to the role played by pseudoreflections, which arise because they correspond to the divisors in the polynomial ring which ramify over the invariants. Also included is a new proof by Crawley-Boevey and the author of the Carlisle-Kropholler conjecture. This volume will appeal to all algebraists, but especially those working in representation theory, group theory, and commutative or homological algebra Invariants Finite groups Divisor theory Invariante (DE-588)4128781-2 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Invariante (DE-588)4128781-2 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-45886-3 https://doi.org/10.1017/CBO9780511565809 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Benson, D. J. 1955- Polynomial invariants of finite groups Invariants Finite groups Divisor theory Invariante (DE-588)4128781-2 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4128781-2 (DE-588)4014651-0 |
| title | Polynomial invariants of finite groups |
| title_auth | Polynomial invariants of finite groups |
| title_exact_search | Polynomial invariants of finite groups |
| title_full | Polynomial invariants of finite groups D.J. Benson |
| title_fullStr | Polynomial invariants of finite groups D.J. Benson |
| title_full_unstemmed | Polynomial invariants of finite groups D.J. Benson |
| title_short | Polynomial invariants of finite groups |
| title_sort | polynomial invariants of finite groups |
| topic | Invariants Finite groups Divisor theory Invariante (DE-588)4128781-2 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Invariants Finite groups Divisor theory Invariante Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9780511565809 |
| work_keys_str_mv | AT bensondj polynomialinvariantsoffinitegroups |