Color algebras and affine connections on \(S^ 6\)

DOI10.1016/0021-8693(92)90014-DzbMath0773.17001MaRDI QIDQ1188281

Hyo Chul Myung, Alberto Elduque

Publication date: 13 August 1992

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

zbMATH Keywords

affine connectionsreductive algebrareductive pairsplit vector color algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Connections (general theory) (53C05)

Related Items (max. 100)

Invariant affine connections on odd-dimensional spheres ⋮ The reductive pair \((B_ 3,G_ 2)\) and affine connections on \(S^ 7\) ⋮ Composition algebras with large derivation algebras ⋮ Reductive homogeneous spaces of the compact Lie group \(G_2\) ⋮ Notes on \(G_2\): the Lie algebra and the Lie group ⋮ Models of the octonions and \(G_2\). ⋮ Colour algebras and Cayley–Dickson algebras ⋮ Reductive homogeneous spaces and nonassociative algebras ⋮ CONNECTIONS AND GENERALIZED GAUGE TRANSFORMATIONS ⋮ The reductive pair \((B_4, B_3)\) and affine connections on \(S^{15}\) ⋮ Lie-Yamaguti algebras related to \(\mathfrak g_2\) ⋮ On some algebras related to simple Lie triple systems

Cites Work

• Malcev-admissible algebras
• On the construction of reductive Lie-admissible algebras
• An investigation of real division algebras using derivations
• Malcev Algebras
• The Derivation Algebra of a Real Division Algebra
• The algebra of color
• Jordan Algebras and Connections on Homogeneous Spaces
• Quadratic Division Algebras
• On Homogeneous Spaces and Reductive Subalgebras of Simple Lie Algebras
• Flexible composition algebras and okubo algebras
• Invariant Affine Connections on Homogeneous Spaces
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