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arXiv · 2007.13042

Note on Samelson products in exceptional Lie groups

Abstract

We determine (non-)triviality of Samelson products of inclusions of factors of the mod $p$ decomposition of $G_{(p)}$ for $(G,p)=(E_7,5),(E_7,7),(E_8,7)$. This completes the determination of (non-)triviality of those Samelson products in $p$-localized exceptional Lie groups when $G$ has $p$-torsion free homology.

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Daisuke Kishimoto, Akihiro Ohsita, Masahiro Takeda. 2020-07-26. Note on Samelson products in exceptional Lie groups. https://doi.org/10.1017/s0017089520000567

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