The Transition Function of G₂ over S⁶

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dc.contributor.authorGyenge, Á.
dc.date.accessioned2025-12-05T09:32:24Z
dc.date.issued2019
dc.description.abstractWe 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)).
dc.description.sponsorshipThe 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.
dc.identifier.citationThe Transition Function of G₂ over S⁶ / Á. Gyenge // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 9 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2019.078
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 57S15; 55R10; 55R25
dc.identifier.otherarXiv: 1811.03613
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210310
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleThe Transition Function of G₂ over S⁶
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2019, том 15, випуск за цей рік