Abstract
For a compact simple Lie group $G$, we show that the element $[G, \mathcal{L}] \in \pi^S_*(S^0)$ represented by the pair $(G, \mathcal{L})$ is zero, where $\mathcal{L}$ denotes the left invariant framing of $G$. The proof relies on the method of E. Ossa [Topology, 21 (1982), 315–323].
Citation
Haruo MINAMI. "On framed simple Lie groups." J. Math. Soc. Japan 68 (3) 1219 - 1229, July, 2016. https://doi.org/10.2969/jmsj/06831219
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