The reductive pair \((B_4, B_3)\) and affine connections on \(S^{15}\)

DOI10.1006/jabr.1999.8139zbMath0962.17001OpenAlexW1994777435MaRDI QIDQ1569809

Alberto Elduque, Hyo Chul Myung

Publication date: 9 July 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8139

zbMATH Keywords

affine connectionsholonomy algebraconnection algebrareductive pairs of Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Connections (general theory) (53C05)

Related Items (3)

Nonassociative algebras: some applications. ⋮ Invariant connections and \(\nabla\)-Einstein structures on isotropy irreducible spaces ⋮ Reductive homogeneous spaces and nonassociative algebras

Cites Work

• Color algebras and affine connections on \(S^ 6\)
• A family of metric on the 15-dimensional sphere
• The reductive pair \((B_ 3,G_ 2)\) and affine connections on \(S^ 7\)
• Some remarks about Lie groups transitive on spheres and tori
• Invariant Affine Connections on Homogeneous Spaces
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