The Transition Function of G₂ over S⁶
We obtain explicit formulas for the trivialization functions of the SU(3) principal bundle G₂→S⁶ over two affine charts. We also calculate the explicit transition function of this fibration over the equator of the six-sphere. In this way, we obtain a new proof of the known fact that this fibration c...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2019 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210310 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Transition Function of G₂ over S⁶ / Á. Gyenge // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722239680479232 |
|---|---|
| author | Gyenge, Á. |
| author_facet | Gyenge, Á. |
| citation_txt | The Transition Function of G₂ over S⁶ / Á. Gyenge // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We obtain explicit formulas for the trivialization functions of the SU(3) principal bundle G₂→S⁶ over two affine charts. We also calculate the explicit transition function of this fibration over the equator of the six-sphere. In this way, we obtain a new proof of the known fact that this fibration corresponds to a generator of π₅(SU(3)).
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| first_indexed | 2025-12-07T21:25:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210310 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:25:06Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gyenge, Á. 2025-12-05T09:32:24Z 2019 The Transition Function of G₂ over S⁶ / Á. Gyenge // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 57S15; 55R10; 55R25 arXiv: 1811.03613 https://nasplib.isofts.kiev.ua/handle/123456789/210310 https://doi.org/10.3842/SIGMA.2019.078 We obtain explicit formulas for the trivialization functions of the SU(3) principal bundle G₂→S⁶ over two affine charts. We also calculate the explicit transition function of this fibration over the equator of the six-sphere. In this way, we obtain a new proof of the known fact that this fibration corresponds to a generator of π₅(SU(3)). The main part of the work was carried out while the author was at the Budapest University of Technology and Economics, Hungary. The author would like to thank Gábor Etesi and Szilárd Szabó for several helpful comments and discussions. The author is also thankful to the anonymous referees. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Transition Function of G₂ over S⁶ Article published earlier |
| spellingShingle | The Transition Function of G₂ over S⁶ Gyenge, Á. |
| title | The Transition Function of G₂ over S⁶ |
| title_full | The Transition Function of G₂ over S⁶ |
| title_fullStr | The Transition Function of G₂ over S⁶ |
| title_full_unstemmed | The Transition Function of G₂ over S⁶ |
| title_short | The Transition Function of G₂ over S⁶ |
| title_sort | transition function of g₂ over s⁶ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210310 |
| work_keys_str_mv | AT gyengea thetransitionfunctionofg2overs6 AT gyengea transitionfunctionofg2overs6 |