Geodesic
Higher homotopy commutativity in localized Lie groups and gauge groups
Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 107-128.

Voir la notice de l'article provenant de la source International Press of Boston

The first aim of this paper is to study the $p$-local higher homotopy commutativity of Lie groups in the sense of Sugawara. The second aim is to apply this result to the $p$-local higher homotopy commutativity of gauge groups. Although the higher homotopy commutativity of Lie groups in the sense of Williams is already known, the higher homotopy commutativity in the sense of Sugawara is necessary for this application. The third aim is to resolve the $5$-local higher homotopy non-commutativity problem of the exceptional Lie group $\mathrm{G}_2$, which has been open for a long time.
DOI : 10.4310/HHA.2019.v21.n1.a6
Classification : 55P35
Keywords: homotopy commutativity, Lie group, gauge group, $A_n$-space 
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Sho Hasui; Daisuke Kishimoto; Mitsunobu Tsutaya. Higher homotopy commutativity in localized Lie groups and gauge groups. Homology, homotopy, and applications, Tome 21 (2019) no. 1, pp. 107-128. doi : 10.4310/HHA.2019.v21.n1.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n1.a6/

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