NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS
Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 741-752
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We determine the (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 the (non-)triviality of those Samelson products in p-localized exceptional Lie groups when G has p-torsion-free homology.
KISHIMOTO, DAISUKE; OHSITA, AKIHIRO; TAKEDA, MASAHIRO. NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS. Glasgow mathematical journal, Tome 63 (2021) no. 3, pp. 741-752. doi: 10.1017/S0017089520000567
@article{10_1017_S0017089520000567,
author = {KISHIMOTO, DAISUKE and OHSITA, AKIHIRO and TAKEDA, MASAHIRO},
title = {NOTE {ON} {SAMELSON} {PRODUCTS} {IN} {EXCEPTIONAL} {LIE} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {741--752},
year = {2021},
volume = {63},
number = {3},
doi = {10.1017/S0017089520000567},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000567/}
}
TY - JOUR AU - KISHIMOTO, DAISUKE AU - OHSITA, AKIHIRO AU - TAKEDA, MASAHIRO TI - NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS JO - Glasgow mathematical journal PY - 2021 SP - 741 EP - 752 VL - 63 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000567/ DO - 10.1017/S0017089520000567 ID - 10_1017_S0017089520000567 ER -
%0 Journal Article %A KISHIMOTO, DAISUKE %A OHSITA, AKIHIRO %A TAKEDA, MASAHIRO %T NOTE ON SAMELSON PRODUCTS IN EXCEPTIONAL LIE GROUPS %J Glasgow mathematical journal %D 2021 %P 741-752 %V 63 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000567/ %R 10.1017/S0017089520000567 %F 10_1017_S0017089520000567
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