Vertex Operators in Mathematics and Physics: Proceedings of a Conference November 10–17, 1983
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1985
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| Schriftenreihe: | Mathematical Sciences Research Institute Publications
3 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 83-01664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction |
| Beschreibung: | 1 Online-Ressource (XIV, 482 p) |
| ISBN: | 9781461395508 9781461395522 |
| ISSN: | 0940-4740 |
| DOI: | 10.1007/978-1-4613-9550-8 |
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| 500 | |a James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 83-01664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction | ||
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Datensatz im Suchindex
| _version_ | 1804153093143658496 |
|---|---|
| any_adam_object | |
| author | Lepowsky, J. |
| author_facet | Lepowsky, J. |
| author_role | aut |
| author_sort | Lepowsky, J. |
| author_variant | j l jl |
| building | Verbundindex |
| bvnumber | BV042420800 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863857278 (DE-599)BVBBV042420800 |
| dewey-full | 530.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.1 |
| dewey-search | 530.1 |
| dewey-sort | 3530.1 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9550-8 |
| format | Electronic eBook |
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| genre_facet | Konferenzschrift 1983 Berkeley Calif. Konferenzschrift |
| id | DE-604.BV042420800 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461395508 9781461395522 |
| issn | 0940-4740 |
| language | English |
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| series2 | Mathematical Sciences Research Institute Publications |
| spelling | Lepowsky, J. Verfasser aut Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 edited by J. Lepowsky, S. Mandelstam, I. M. Singer New York, NY Springer US 1985 1 Online-Ressource (XIV, 482 p) txt rdacontent c rdamedia cr rdacarrier Mathematical Sciences Research Institute Publications 3 0940-4740 James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 83-01664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction Physics Theoretical, Mathematical and Computational Physics Nichtassoziative Algebra (DE-588)4297760-5 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Vertexoperator (DE-588)4188067-5 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Kac-Moody-Algebra (DE-588)4223399-9 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1983 Berkeley Calif. gnd-content 2\p (DE-588)1071861417 Konferenzschrift gnd-content Lie-Algebra (DE-588)4130355-6 s 3\p DE-604 Nichtassoziative Algebra (DE-588)4297760-5 s 4\p DE-604 Quantenfeldtheorie (DE-588)4047984-5 s 5\p DE-604 Kac-Moody-Algebra (DE-588)4223399-9 s 6\p DE-604 Vertexoperator (DE-588)4188067-5 s 7\p DE-604 Operator (DE-588)4130529-2 s 8\p DE-604 Quantentheorie (DE-588)4047992-4 s 9\p DE-604 Gruppentheorie (DE-588)4072157-7 s 10\p DE-604 Mandelstam, S. Sonstige oth Singer, I. M. Sonstige oth https://doi.org/10.1007/978-1-4613-9550-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 8\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 9\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 10\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lepowsky, J. Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 Physics Theoretical, Mathematical and Computational Physics Nichtassoziative Algebra (DE-588)4297760-5 gnd Lie-Algebra (DE-588)4130355-6 gnd Vertexoperator (DE-588)4188067-5 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Operator (DE-588)4130529-2 gnd Gruppentheorie (DE-588)4072157-7 gnd Quantentheorie (DE-588)4047992-4 gnd Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| subject_GND | (DE-588)4297760-5 (DE-588)4130355-6 (DE-588)4188067-5 (DE-588)4047984-5 (DE-588)4130529-2 (DE-588)4072157-7 (DE-588)4047992-4 (DE-588)4223399-9 (DE-588)1071861417 |
| title | Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 |
| title_auth | Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 |
| title_exact_search | Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 |
| title_full | Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 edited by J. Lepowsky, S. Mandelstam, I. M. Singer |
| title_fullStr | Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 edited by J. Lepowsky, S. Mandelstam, I. M. Singer |
| title_full_unstemmed | Vertex Operators in Mathematics and Physics Proceedings of a Conference November 10–17, 1983 edited by J. Lepowsky, S. Mandelstam, I. M. Singer |
| title_short | Vertex Operators in Mathematics and Physics |
| title_sort | vertex operators in mathematics and physics proceedings of a conference november 10 17 1983 |
| title_sub | Proceedings of a Conference November 10–17, 1983 |
| topic | Physics Theoretical, Mathematical and Computational Physics Nichtassoziative Algebra (DE-588)4297760-5 gnd Lie-Algebra (DE-588)4130355-6 gnd Vertexoperator (DE-588)4188067-5 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Operator (DE-588)4130529-2 gnd Gruppentheorie (DE-588)4072157-7 gnd Quantentheorie (DE-588)4047992-4 gnd Kac-Moody-Algebra (DE-588)4223399-9 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Nichtassoziative Algebra Lie-Algebra Vertexoperator Quantenfeldtheorie Operator Gruppentheorie Quantentheorie Kac-Moody-Algebra Konferenzschrift 1983 Berkeley Calif. Konferenzschrift |
| url | https://doi.org/10.1007/978-1-4613-9550-8 |
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