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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210310 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Transition Function of G₂ over S⁶ / Á. Gyenge // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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| ISSN: | 1815-0659 |