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On framed simple Lie groups

Name: On framed simple Lie groups
Creator: MINAMI, Haruo
Keywords: 19L20, Lie groups, 0103 physical sciences, Adams conjecture, 57R15, 22E46, framed manifolds, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 2016Publisher:Mathematical Society of Japan (Project Euclid)Journal:Journal of the Mathematical Society of Japan, volume 68 (issn: 0025-5645,

Authors: MINAMI, Haruo;

doi: 10.2969/jmsj/06831219

On framed simple Lie groups

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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].

Related Organizations

Nara University of Education
Japan

Keywords

19L20, Lie groups, Adams conjecture, 57R15, 22E46, framed manifolds

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