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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

An elementary section of a bundle


Author: A. Rigas
Journal: Proc. Amer. Math. Soc. 102 (1988), 1099-1100
MSC: Primary 55R10; Secondary 17A35, 55Q52
DOI: https://doi.org/10.1090/S0002-9939-1988-0934896-6
MathSciNet review: 934896
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Abstract: We use the Cayley algebra and triality to provide an explicit section of a principal $ {G_2}$-bundleover $ {S^7}$. This section is the basic ingredient for a direct, elementary, proof that $ {\pi _6}{G_2} \cong {{\mathbf{Z}}_3},{\pi _6}SU(3) \cong {{\mathbf{Z}}_6}$ and $ {\pi _6}{S^3} \cong {{\mathbf{Z}}_{12}}$


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DOI: https://doi.org/10.1090/S0002-9939-1988-0934896-6
Article copyright: © Copyright 1988 American Mathematical Society

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