The reductive pair \((B_4, B_3)\) and affine connections on \(S^{15}\)
type: Item
instance of: scholarly article
title: The reductive pair \((B_4, B_3)\) and affine connections on \(S^{15}\)
zbMATH Open document ID: 0962.17001
author: Alberto Elduque
author: Hyo Chul Myung
published in: Journal of Algebra
publication date: 2000-07-09T00:00:00Z
review text: The authors continue their investigations of reductive pairs of Lie algebras \((L,H)\). In particular they determine the attached connection algebras and related tensors for \((B_4, B_3)\). When restricted to the real field, it is shown that there is a three parameter family of Spin(9)-invariant affine connections on \(S^{15}\). They find five different possibilities for the holonomy algebra of a connection algebra attached to \((B_4, B_3)\).
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 1471030
zbMATH Keywords: reductive pairs of Lie algebras
zbMATH Keywords: affine connections
zbMATH Keywords: holonomy algebra
zbMATH Keywords: connection algebra
reviewed by: Ernest L. Stitzinger
MaRDI profile type: Publication
full work available at URL: jabr.1999.8139
OpenAlex ID: W1994777435
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DOI: 10.1006/JABR.1999.8139
description: scientific article; zbMATH DE number 1471030