Finite reflection groups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
[1985]
|
| Edition: | Second Edition |
| Series: | Graduate texts in mathematics
99 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 133 Seiten Diagramme |
| ISBN: | 0387960821 3540960821 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804114820563206144 |
|---|---|
| adam_text | CONTENTS
CHAPTER 1
Preliminaries 1
1.1 Linear Algebra 1
1.2 Group Theory 3
CHAPTER 2
Finite Groups in Two and Three Dimensions 5
2.1 Orthogonal Transformations in Two Dimensions 5
2.2 Finite Groups in Two Dimensions 7
2.3 Orthogonal Transformations in Three Dimensions 9
2.4 Finite Rotation Groups in Three Dimensions 11
2.5 Finite Groups in Three Dimensions 18
2.6 Crystallographic Groups 21
Exercises 22
CHAPTER 3
Fundamental Regions 27
Exercises 32
CHAPTER 4
Coxeter Groups 34
4.1 Root Systems 34
4.2 Fundamental Regions for Coxeter Groups 43
Exercises 50
ix
x Contents
CHAPTER 5
Classification of Coxeter Groups 53
5.1 Coxeter Graphs 53
5.2 The Crystallographic Condition 63
5.3 Construction of Irreducible Coxeter Groups 65
5.4 Orders of Irreducible Coxeter Groups 77
Exercises 80
CHAPTER 6
Generators and Relations for Coxeter Groups 83
Exercises 101
CHAPTER 7
Invariants 104
7.1 Introduction 104
7.2 Polynomial Functions 105
7.3 Invariants 107
7.4 The Molien Series 112
Exercises 120
Postlude 124
APPENDIX
Crystallographic Point Groups 127
References 129
Index 131
|
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| author | Grove, Larry C. 1938- Benson, Clark T. |
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| discipline | Mathematik |
| edition | Second Edition |
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| indexdate | 2024-07-09T15:12:48Z |
| institution | BVB |
| isbn | 0387960821 3540960821 |
| language | English |
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| physical | x, 133 Seiten Diagramme |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
| record_format | marc |
| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Grove, Larry C. 1938- Verfasser (DE-588)172107520 aut Finite reflection groups L. C. Grove, C. T. Benson Second Edition New York u.a. Springer [1985] x, 133 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 99 Algebra - Teorija grup Geometrija - Liejeve geometrije Spiegelungsgruppe (DE-588)4182257-2 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Spiegelungsgruppe (DE-588)4182257-2 s DE-604 Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 Benson, Clark T. Verfasser aut Graduate texts in mathematics 99 (DE-604)BV000000067 99 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000219877&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Grove, Larry C. 1938- Benson, Clark T. Finite reflection groups Graduate texts in mathematics Algebra - Teorija grup Geometrija - Liejeve geometrije Spiegelungsgruppe (DE-588)4182257-2 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4182257-2 (DE-588)4072157-7 |
| title | Finite reflection groups |
| title_auth | Finite reflection groups |
| title_exact_search | Finite reflection groups |
| title_full | Finite reflection groups L. C. Grove, C. T. Benson |
| title_fullStr | Finite reflection groups L. C. Grove, C. T. Benson |
| title_full_unstemmed | Finite reflection groups L. C. Grove, C. T. Benson |
| title_short | Finite reflection groups |
| title_sort | finite reflection groups |
| topic | Algebra - Teorija grup Geometrija - Liejeve geometrije Spiegelungsgruppe (DE-588)4182257-2 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Algebra - Teorija grup Geometrija - Liejeve geometrije Spiegelungsgruppe Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000219877&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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