Samelson products in the exceptional Lie group of rank 2
type: Item
instance of: scholarly article
title: Samelson products in the exceptional Lie group of rank 2
zbMATH Open document ID: 1090.55003
author: Hideaki Ōshima
published in: Journal of Mathematics of Kyoto University
publication date: 2006-03-23T00:00:00Z
review text: The purpose of this article is to study the Samelson products in the exceptional Lie group \(G_2\). The main result determines the Samelson product of \(\pi_{3}(G_2)\) and \(\pi_{11}(G_2)\), with applications to the self-maps of \(G_2\), and the multiplicative structure on \(G_2\).
reviewed by: Jie Wu
Mathematics Subject Classification ID: 55Q52
Mathematics Subject Classification ID: 55Q35
Mathematics Subject Classification ID: 55Q15
Mathematics Subject Classification ID: 57T20
zbMATH DE Number: 5014814
zbMATH Keywords: Lie groups
zbMATH Keywords: homotopy groups
zbMATH Keywords: Samelson products
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250281999
OpenAlex ID: W2115569064
Wikidata QID: Q115240466
DOI: 10.1215/KJM/1250281999
description: scientific article; zbMATH DE number 5014814