Journal of Mathematics of Kyoto University

On the homotopy group $\pi_{8n+4}(Sp(n))$ and the Hopf invariant

Kaoru Morisugi

Full-text: Open access

Abstract

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.

Article information

Source
J. Math. Kyoto Univ., Volume 31, Number 1 (1991), 121-132.

Dates
First available in Project Euclid: 17 August 2009

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1250519894

Digital Object Identifier
doi:10.1215/kjm/1250519894

Mathematical Reviews number (MathSciNet)
MR1093331

Zentralblatt MATH identifier
0731.57018

Subjects
Primary: 55Q52: Homotopy groups of special spaces
Secondary: 55Q25: Hopf invariants 57T20: Homotopy groups of topological groups and homogeneous spaces

Citation

Morisugi, Kaoru. On the homotopy group $\pi_{8n+4}(Sp(n))$ and the Hopf invariant. J. Math. Kyoto Univ. 31 (1991), no. 1, 121--132. doi:10.1215/kjm/1250519894. https://projecteuclid.org/euclid.kjm/1250519894


Export citation