publication . Article . Other literature type . 2016

on framed simple lie groups

MINAMI, Haruo;
Open Access
  • Published: 01 Jul 2016 Journal: Journal of the Mathematical Society of Japan, volume 68, pages 1,219-1,229 (issn: 0025-5645, Copyright policy)
  • Publisher: Mathematical Society of Japan (Project Euclid)
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].
Subjects
free text keywords: Real form, Algebra, Topology, Lie group, Representation of a Lie group, Simple Lie group, Mathematics, framed manifolds, Lie groups, Adams conjecture, 57R15, 22E46, 19L20
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