The Virasoro Algebra and Some Exceptional Lie and Finite Groups
We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series of simple Lie groups and some exceptional finite simple groups including the M...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147803 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Virasoro Algebra and Some Exceptional Lie and Finite Groups / M.P. Tuite // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862661577311780864 |
|---|---|
| author | Tuite, M.P. |
| author_facet | Tuite, M.P. |
| citation_txt | The Virasoro Algebra and Some Exceptional Lie and Finite Groups / M.P. Tuite // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series of simple Lie groups and some exceptional finite simple groups including the Monster and Baby Monster.
|
| first_indexed | 2025-12-02T11:59:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147803 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T11:59:00Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tuite, M.P. 2019-02-16T08:30:49Z 2019-02-16T08:30:49Z 2007 The Virasoro Algebra and Some Exceptional Lie and Finite Groups / M.P. Tuite // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B68; 20D08; 17B69; 81R05; 81R10 https://nasplib.isofts.kiev.ua/handle/123456789/147803 We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras. These groups include the Deligne exceptional series of simple Lie groups and some exceptional finite simple groups including the Monster and Baby Monster. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). The author thanks A. Matsuo and G. Mason for very useful discussions and H. Maruoka, A. Matsuo and H. Shimakura for generously making Ref. available. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Virasoro Algebra and Some Exceptional Lie and Finite Groups Article published earlier |
| spellingShingle | The Virasoro Algebra and Some Exceptional Lie and Finite Groups Tuite, M.P. |
| title | The Virasoro Algebra and Some Exceptional Lie and Finite Groups |
| title_full | The Virasoro Algebra and Some Exceptional Lie and Finite Groups |
| title_fullStr | The Virasoro Algebra and Some Exceptional Lie and Finite Groups |
| title_full_unstemmed | The Virasoro Algebra and Some Exceptional Lie and Finite Groups |
| title_short | The Virasoro Algebra and Some Exceptional Lie and Finite Groups |
| title_sort | virasoro algebra and some exceptional lie and finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147803 |
| work_keys_str_mv | AT tuitemp thevirasoroalgebraandsomeexceptionallieandfinitegroups AT tuitemp virasoroalgebraandsomeexceptionallieandfinitegroups |