The purpose of this note is to study the homotopy groups of $U(n)$ and $S_{p}(n)$ of the first dimension over the meta-stable range. Our method is to use the classical $\mathrm{EHP}$-sequence.
Publié le : 1991-05-15
Classification:
55Q52,
55Q25,
57T20
@article{1250519894,
author = {Morisugi, Kaoru},
title = {On the homotopy group $\pi\_{8n+4}(Sp(n))$ and the Hopf invariant},
journal = {J. Math. Kyoto Univ.},
volume = {31},
number = {4},
year = {1991},
pages = { 121-132},
language = {en},
url = {http://dml.mathdoc.fr/item/1250519894}
}
Morisugi, Kaoru. On the homotopy group $\pi_{8n+4}(Sp(n))$ and the Hopf invariant. J. Math. Kyoto Univ., Tome 31 (1991) no. 4, pp. 121-132. http://gdmltest.u-ga.fr/item/1250519894/