The reductive pair \((B_ 3,G_ 2)\) and affine connections on \(S^ 7\)

DOI10.1016/0022-4049(93)90100-8zbMath0784.17010OpenAlexW2071317932MaRDI QIDQ2366063

Hyo Chul Myung, Alberto Elduque

Publication date: 29 June 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90100-8

zbMATH Keywords

Lie algebraoctonionsreductive pairsMalcev algebrareductive subalgebrainvariant affine connections

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Linear and affine connections (53B05) Mal'tsev rings and algebras (17D10)

Related Items

Invariant affine connections on odd-dimensional spheres ⋮ Notes on \(G_2\): the Lie algebra and the Lie group ⋮ Colour algebras and Cayley–Dickson algebras ⋮ Reductive homogeneous spaces and nonassociative algebras ⋮ CONNECTIONS AND GENERALIZED GAUGE TRANSFORMATIONS ⋮ Symmetric matrices, orthogonal Lie algebras and Lie-Yamaguti algebras ⋮ Irreducible Lie-Yamaguti algebras of generic type ⋮ The reductive pair \((B_4, B_3)\) and affine connections on \(S^{15}\) ⋮ On triality and automorphisms and derivations of composition algebras ⋮ On some algebras related to simple Lie triple systems

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