Klein Topological Field Theories from Group Representations
We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the projective plane in this theory with the Frobenius-Schur indicator on the represe...
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| Дата: | 2011 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147393 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Klein Topological Field Theories from Group Representations / S.A. Loktev, S.M. Natanzon // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-1473932019-02-23T10:23:36Z Klein Topological Field Theories from Group Representations Loktev, S.A. Natanzon, S.M. We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the projective plane in this theory with the Frobenius-Schur indicator on the representation. We relate any complex simple Klein TFT to a real division ring. 2011 Article Klein Topological Field Theories from Group Representations / S.A. Loktev, S.M. Natanzon // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 57R56; 20C05 DOI:10.3842/SIGMA.2011.070 http://dspace.nbuv.gov.ua/handle/123456789/147393 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We show that any complex (respectively real) representation of finite group naturally generates a open-closed (respectively Klein) topological field theory over complex numbers. We relate the 1-point correlator for the projective plane in this theory with the Frobenius-Schur indicator on the representation. We relate any complex simple Klein TFT to a real division ring. |
| format |
Article |
| author |
Loktev, S.A. Natanzon, S.M. |
| spellingShingle |
Loktev, S.A. Natanzon, S.M. Klein Topological Field Theories from Group Representations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Loktev, S.A. Natanzon, S.M. |
| author_sort |
Loktev, S.A. |
| title |
Klein Topological Field Theories from Group Representations |
| title_short |
Klein Topological Field Theories from Group Representations |
| title_full |
Klein Topological Field Theories from Group Representations |
| title_fullStr |
Klein Topological Field Theories from Group Representations |
| title_full_unstemmed |
Klein Topological Field Theories from Group Representations |
| title_sort |
klein topological field theories from group representations |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147393 |
| citation_txt |
Klein Topological Field Theories from Group Representations / S.A. Loktev, S.M. Natanzon // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT loktevsa kleintopologicalfieldtheoriesfromgrouprepresentations AT natanzonsm kleintopologicalfieldtheoriesfromgrouprepresentations |
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2023-05-20T17:27:19Z |
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2023-05-20T17:27:19Z |
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