Geodesic
Samelson products in quasi-$p$-regular exceptional Lie groups
Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 185-208.

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

There is a product decomposition of a compact connected Lie group $G$ at the prime $p$, called the $\mod p$ decomposition, when $G$ has no $p$-torsion in homology. Then in studying the multiplicative structure of the $p$-localization of $G$, the Samelson products of the factor space inclusions of the $\mod p$ decomposition are fundamental. This paper determines the (non-)triviality of these fundamental Samelson products in the $p$-localized exceptional Lie groups when the factor spaces are of rank $\leqslant 2$, that is, $G$ is quasi-$p$-regular.
DOI : 10.4310/HHA.2018.v20.n1.a11
Classification : 55P35, 57T10
Keywords: Samelson product, exceptional Lie group, quasi-$p$-regularity, $\mod p$ decomposition 
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     title = {Samelson products in quasi-$p$-regular exceptional {Lie} groups},
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     pages = {185--208},
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Sho Hasui; Daisuke Kishimoto; Toshiyuki Miyauchi; Akihiro Ohsita. Samelson products in quasi-$p$-regular exceptional Lie groups. Homology, homotopy, and applications, Tome 20 (2018) no. 1, pp. 185-208. doi : 10.4310/HHA.2018.v20.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n1.a11/

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