The classical and quantum 6j-symbols:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
1995
|
| Series: | Mathematical notes
43 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 164 S. Ill., graph. Darst. |
| ISBN: | 0691027307 |
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MARC
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| 245 | 1 | 0 | |a The classical and quantum 6j-symbols |c by J. Scott Carter ; Daniel E. Flath and Masahico Saito |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1995 | |
| 300 | |a IX, 164 S. |b Ill., graph. Darst. | ||
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| 700 | 1 | |a Flath, Daniel E. |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1804125256991899648 |
|---|---|
| adam_text | Contents
Foreword ix
1 Introduction 3
2 Representations of U(sl(2)) 7
Basic definitions 7
Finite dimensional irreducible representations 7
Diagrammatics of U(sl(2)) invariant maps 12
The Temperley-Lieb algebra 15
Tensor products of irreducible representations 21
The 6j-symbols 27
Computations 43
A recursion formula for the 6j-symbols 63
Remarks 65
3 Quantum si(2) 67
Some finite dimensional representations 67
Representations of the braid groups 70
A finite dimensional quotient of C[B(n)] 74
A model for the representations V3A 77
The Jones-Wentzl projectors 80
The quantum Clebsch-Gordan theory 93
Quantum network evaluation 99
The quantum 6.7-symbols — generic case 106
Diagrammatics of weight vectors (quantum case) .... 110
Twisting rules Ill
Symmetries 123
Further identities among the quantum 6.7-symbols . . . 125
vii
viii Contents
4 The Quantum Trace and Color Representations 127
The quantum trace 127
A bilinear form on tangle diagrams 130
Color representations 133
The quantum 6j-symbol — root of unity case 139
5 The Turaev-Viro Invariant 151
The definition of the Turaev-Viro invariant 151
Epilogue 157
References 160
|
| any_adam_object | 1 |
| author | Carter, J. Scott 1956- Flath, Daniel E. Saito, Masahico |
| author_GND | (DE-588)1028997604 |
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| building | Verbundindex |
| bvnumber | BV010775809 |
| classification_rvk | SI 870 SK 240 UK 3000 |
| classification_tum | MAT 202f PHY 021f |
| ctrlnum | (OCoLC)246889979 (DE-599)BVBBV010775809 |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV010775809 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:41Z |
| institution | BVB |
| isbn | 0691027307 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007196681 |
| oclc_num | 246889979 |
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| physical | IX, 164 S. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series | Mathematical notes |
| series2 | Mathematical notes |
| spelling | Carter, J. Scott 1956- Verfasser (DE-588)1028997604 aut The classical and quantum 6j-symbols by J. Scott Carter ; Daniel E. Flath and Masahico Saito Princeton, NJ Princeton Univ. Press 1995 IX, 164 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical notes 43 Quantengruppe (DE-588)4252437-4 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Quantengruppe (DE-588)4252437-4 s Gruppentheorie (DE-588)4072157-7 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Flath, Daniel E. Verfasser aut Saito, Masahico Verfasser aut Mathematical notes 43 (DE-604)BV000003793 43 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007196681&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carter, J. Scott 1956- Flath, Daniel E. Saito, Masahico The classical and quantum 6j-symbols Mathematical notes Quantengruppe (DE-588)4252437-4 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4252437-4 (DE-588)4148816-7 (DE-588)4072157-7 |
| title | The classical and quantum 6j-symbols |
| title_auth | The classical and quantum 6j-symbols |
| title_exact_search | The classical and quantum 6j-symbols |
| title_full | The classical and quantum 6j-symbols by J. Scott Carter ; Daniel E. Flath and Masahico Saito |
| title_fullStr | The classical and quantum 6j-symbols by J. Scott Carter ; Daniel E. Flath and Masahico Saito |
| title_full_unstemmed | The classical and quantum 6j-symbols by J. Scott Carter ; Daniel E. Flath and Masahico Saito |
| title_short | The classical and quantum 6j-symbols |
| title_sort | the classical and quantum 6j symbols |
| topic | Quantengruppe (DE-588)4252437-4 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Quantengruppe Darstellungstheorie Gruppentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007196681&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003793 |
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