On framed simple Lie groups

Other literature type English OPEN
MINAMI, Haruo;
  • Publisher: Mathematical Society of Japan
  • Journal: issn: 0025-5645
  • Related identifiers: doi: 10.2969/jmsj/06831219
  • Subject: framed manifolds | Lie groups | Adams conjecture | 57R15 | 22E46 | 19L20

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 (1... View more
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