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An elementary section of a bundle

Author: A. Rigas
Journal: Proc. Amer. Math. Soc. 102 (1988), 1099-1100
MSC: Primary 55R10; Secondary 17A35, 55Q52
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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Article copyright: © Copyright 1988 American Mathematical Society

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