论文标题
关于杰出的谎言组中的萨梅森产品的注释
Note on Samelson products in exceptional Lie groups
论文作者
论文摘要
我们确定了$ g _ {(p)} $ $(g,p)=(e_7,5),(e_7,7),(e_8,7)$的$ g _ {(p)} $的因素的塞马森产品的(非)琐事。当$ g $具有$ p $ - torsion not的同源性时,这完成了萨梅森产品(非定位的异常谎言组)的(非 - 非定位式谎言组)的确定。
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.