Fermionic expressions for minimal model Virasoro characters:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2005
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
827 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 175, number 827 (third of 4 numbers)." Includes bibliographical references |
| Beschreibung: | VII, 160 S. graph. Darst. |
| ISBN: | 0821836560 |
Internformat
MARC
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| 100 | 1 | |a Welsh, Trevor A. |d 1963- |e Verfasser |0 (DE-588)173764312 |4 aut | |
| 245 | 1 | 0 | |a Fermionic expressions for minimal model Virasoro characters |c Trevor A. Welsh |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2005 | |
| 300 | |a VII, 160 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 827 | |
| 500 | |a "Volume 175, number 827 (third of 4 numbers)." | ||
| 500 | |a Includes bibliographical references | ||
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| 650 | 4 | |a Combinatorial enumeration problems | |
| 650 | 4 | |a Lie algebras | |
| 650 | 0 | 7 | |a Kombinatorik |0 (DE-588)4031824-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-013145976 | ||
Datensatz im Suchindex
| _version_ | 1804133323263442944 |
|---|---|
| adam_text | Contents
1. Prologue 1
1.1. Introduction 1
1.2. Structure of this paper 5
1.3. Continued fractions 6
1.4. Fermionic character expressions 6
1.5. The Takahashi and string lengths 8
1.6. Takahashi trees 8
1.7. Takahashi tree vectors 10
1.8. Truncated Takahashi tree 11
1.9. The linear term 12
1.10. The constant term 12
1.11. The quadratic term 13
1.12. The mn system and the parity vector 14
1.13. The extra term 14
1.14. Finitized fermionic expressions 15
1.15. Fermionic like expressions 17
2. Path combinatorics 19
2.1. Outline of proof 19
2.2. The band structure 21
2.3. Weighting function 22
2.4. Winged generating functions 24
2.5. Striking sequence of a path 25
2.6. Path parameters 26
2.7. Scoring generating functions 27
2.8. A seed 28
2.9. Partitions 28
3. The ^ transform 29
3.1. Path dilation: the B transform 29
3.2. Particle insertion: the ^ transform 34
3.3. Particle moves 35
3.4. The ^ transform 37
3.5. Particle content of a path 38
4. The £ transform 41
4.1. The pure D transform 41
4.2. The KD pair 42
V
vi CONTENTS
5. Mazy runs 45
5.1. The passing sequence 45
5.2. The passing function 47
5.3. Transforming the passing function 50
5.4. Mazy runs in the original weighting 54
6. Extending and truncating paths 57
6.1. Extending paths 57
6.2. Truncating paths 61
7. Generating the fermionic expressions 65
7.1. Runs and the core result 65
7.2. Induction parameters 69
7.3. The induction 80
7.4. Transferring to the original weighting 93
7.5. The other direction 95
7.6. The mn system 98
8. Collating the runs 101
8.1. Pulling the drawstrings 101
8.2. Constraints of the Takahashi tree 103
8.3. Gathering in the Takahashi tree 104
9. Fermionic character expressions Ill
9.1. Taking the limit L ? oo Ill
9.2. Assimilating the trees 117
10. Discussion 127
Appendix A. Examples 131
Appendix B. Obtaining the bosonic generating function 141
Appendix C. Bands and the floor function 145
Appendix D. Bands on the move 147
Appendix E. Combinatorics of the Takahashi lengths 149
Bibliography 159
|
| any_adam_object | 1 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Physik Mathematik |
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| id | DE-604.BV019820703 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:06:53Z |
| institution | BVB |
| isbn | 0821836560 |
| language | English |
| lccn | 2005041982 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013145976 |
| oclc_num | 57422419 |
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| physical | VII, 160 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Welsh, Trevor A. 1963- Verfasser (DE-588)173764312 aut Fermionic expressions for minimal model Virasoro characters Trevor A. Welsh Providence, R.I. American Mathematical Society 2005 VII, 160 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 827 "Volume 175, number 827 (third of 4 numbers)." Includes bibliographical references Combinatorische logica gtt Lie-algebra's gtt Combinatorial enumeration problems Lie algebras Kombinatorik (DE-588)4031824-2 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Abzähltheorie (DE-588)4125171-4 gnd rswk-swf Abzähltheorie (DE-588)4125171-4 s Kombinatorik (DE-588)4031824-2 s Lie-Algebra (DE-588)4130355-6 s b DE-604 Memoirs of the American Mathematical Society 827 (DE-604)BV008000141 827 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013145976&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Welsh, Trevor A. 1963- Fermionic expressions for minimal model Virasoro characters Memoirs of the American Mathematical Society Combinatorische logica gtt Lie-algebra's gtt Combinatorial enumeration problems Lie algebras Kombinatorik (DE-588)4031824-2 gnd Lie-Algebra (DE-588)4130355-6 gnd Abzähltheorie (DE-588)4125171-4 gnd |
| subject_GND | (DE-588)4031824-2 (DE-588)4130355-6 (DE-588)4125171-4 |
| title | Fermionic expressions for minimal model Virasoro characters |
| title_auth | Fermionic expressions for minimal model Virasoro characters |
| title_exact_search | Fermionic expressions for minimal model Virasoro characters |
| title_full | Fermionic expressions for minimal model Virasoro characters Trevor A. Welsh |
| title_fullStr | Fermionic expressions for minimal model Virasoro characters Trevor A. Welsh |
| title_full_unstemmed | Fermionic expressions for minimal model Virasoro characters Trevor A. Welsh |
| title_short | Fermionic expressions for minimal model Virasoro characters |
| title_sort | fermionic expressions for minimal model virasoro characters |
| topic | Combinatorische logica gtt Lie-algebra's gtt Combinatorial enumeration problems Lie algebras Kombinatorik (DE-588)4031824-2 gnd Lie-Algebra (DE-588)4130355-6 gnd Abzähltheorie (DE-588)4125171-4 gnd |
| topic_facet | Combinatorische logica Lie-algebra's Combinatorial enumeration problems Lie algebras Kombinatorik Lie-Algebra Abzähltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013145976&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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