Group theory: a physicist's survey
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 310 S. graph. Darst. 25 cm |
| ISBN: | 9780521896030 0521896037 |
Internformat
MARC
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| 020 | |a 0521896037 |c (hbk.) £40.00 |9 0-521-89603-7 | ||
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| 100 | 1 | |a Ramond, Pierre |d 1943- |e Verfasser |0 (DE-588)133668355 |4 aut | |
| 245 | 1 | 0 | |a Group theory |b a physicist's survey |c Pierre Ramond |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a IX, 310 S. |b graph. Darst. |c 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804143051286773760 |
|---|---|
| adam_text | Contents
page
1
4
5
6
19
22
22
25
27
28
31
33
33
35
41
44
46
48
52
53
56
58
61
64
67
Hubert
spaces
69
4.1
Finite Hubert spaces
69
vu
1
Preface: the pursuit of symmetries
2
Finite
groups: an introduction
2.1
Group axioms
2.2
Finite groups of low order
2.3
Permutations
2.4
Basic concepts
2.4.1
Conjugation
2.4.2
Simple groups
2.4.3
Sylow s criteria
2.4.4
Semi-direct product
2.4.5
Young Tableaux
3
Finite
groups: representations
3.1
Introduction
3.2
Schur s lemmas
3.3
The
Ла
character table
3.4
Kronecker
products
3.5
Real and complex representations
3.6
Embeddings
3.7
Zn character table
3.8
T>„
character table
3.9
Q2n character table
3.10
Some semi-direct products
3.11
Induced representations
3.12
Invariants
3.13
Coverings
viii Contents
4.2
Fermi
oscillators
70
4.3
Infinite
Hubert spaces
72
SU
(2)
78
5.1
Introduction
78
5.2
Some representations
82
5.3
From Lie algebras to Lie groups
86
5.4
Si/
(2) ->
SU
(I,
1)
89
5.5
Selected
SU
(2)
applications
93
5.5.1
The
isotropie
harmonic oscillator
93
5.5.2
The Bohr atom
95
5.5.3
Isotopie
spin
99
SU(3)
102
6.1
Si/(3) algebra
102
6.2
α
-Basis
106
6.3
ω
-Basis
107
6.4
a -Basis
108
6.5
The triplet representation
110
6.6
The Chevalley basis
112
6.7
Sř/(3)
in physics
114
6.7.1
The
isotropie
harmonic oscillator redux
114
6.7.2
The Elliott model
115
6.7.3
The
Sakata
model
117
6.7.4
The Eightfold Way
118
Classification of compact simple Lie algebras
123
7.1
Classification
124
7.2
Simple roots
129
7.3
Rank-two algebras
131
7.4
Dynkin diagrams
134
7.5
Orthonormal
bases
140
Lie algebras: representation theory
143
8.1
Representation basics
143
8.2
A3 fundamentals
144
8.3
The Weyl group
149
8.4
Orthogonal Lie algebras
151
8.5
Spinor representations
153
8.5.1
SO(2n) spinors
154
8.5.2
SO(2n
+ 1)
spinors
156
8.5.3
Clifford algebra construction
159
8.6
Casimir
invariants and Dynkin indices
164
8.7
Embeddings
168
Contents ix
8.8
Oscillator representations
178
8.9
Verma modules
180
8.9.1
Weyl dimension formula
187
8.9.2
Verma basis
188
9
Finite groups: the road to simplicity
190
9.1
Matrices over Galois fields
192
9.1.1
VSL2(1)
197
9.1.2
A doubly transitive group
198
9.2
Chevalley groups
201
9.3
A fleeting glimpse at the sporadic groups
205
10
Beyond Lie algebras
208
10.1
Serre
presentation
208
10.2
Affine
Кас
-Moody algebras
210
10.3
Super algebras
216
11
The groups of the Standard Model
221
11.1
Space-time symmetries
222
11.1.1
The
Lorentz
and
Poincaré
groups
223
11.1.2
The
conformai
group
231
11.2
Beyond space-time symmetries
235
11.2.1
Color and the quark model
239
11.3
Invariant Lagrangians
240
11.4
Non-Abelian gauge theories
243
11.5
The Standard Model
244
11.6
Grand Unification
246
11.7
Possible family symmetries
249
11.7.1
Finite
S U
(2)
and SO(3) subgroups
249
11.7.2
Finite SU(3) subgroups
252
12
Exceptional structures
254
12.1
Hurwitz algebras
254
12.2
Matrices over Hurwitz algebras
257
12.3
The Magic Square
259
Appendix
1
Properties of some finite groups
265
Appendix
2
Properties of selected Lie algebras
277
References
307
Index
308
|
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| author_facet | Ramond, Pierre 1943- |
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| classification_rvk | SK 260 SK 950 |
| classification_tum | PHY 012f |
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| discipline | Physik Mathematik |
| edition | 1. publ. |
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| genre_facet | Lehrbuch |
| id | DE-604.BV036489919 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:41:31Z |
| institution | BVB |
| isbn | 9780521896030 0521896037 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020412537 |
| oclc_num | 699841667 |
| open_access_boolean | |
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| owner_facet | DE-11 DE-83 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-20 |
| physical | IX, 310 S. graph. Darst. 25 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Ramond, Pierre 1943- Verfasser (DE-588)133668355 aut Group theory a physicist's survey Pierre Ramond 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2010 IX, 310 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Gruppentheorie (DE-588)4072157-7 s Mathematische Physik (DE-588)4037952-8 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020412537&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ramond, Pierre 1943- Group theory a physicist's survey Gruppentheorie (DE-588)4072157-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4037952-8 (DE-588)4123623-3 |
| title | Group theory a physicist's survey |
| title_auth | Group theory a physicist's survey |
| title_exact_search | Group theory a physicist's survey |
| title_full | Group theory a physicist's survey Pierre Ramond |
| title_fullStr | Group theory a physicist's survey Pierre Ramond |
| title_full_unstemmed | Group theory a physicist's survey Pierre Ramond |
| title_short | Group theory |
| title_sort | group theory a physicist s survey |
| title_sub | a physicist's survey |
| topic | Gruppentheorie (DE-588)4072157-7 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Gruppentheorie Mathematische Physik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020412537&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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