Models of the octonions and \(G_2\).

DOI10.1016/S0024-3795(03)00478-6zbMath1102.17300MaRDI QIDQ1406301

Pilar Benito, Alberto Elduque, Cristina Draper Fontanals

Publication date: 9 September 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

octonionstransvectionsLie algebra \(G_2\)

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35)

Related Items (6)

New simple Lie superalgebras in characteristic 3 ⋮ Reductive homogeneous spaces of the compact Lie group \(G_2\) ⋮ Local derivations and automorphisms of Cayley algebras ⋮ Notes on \(G_2\): the Lie algebra and the Lie group ⋮ Models of the Lie algebra \(F_4\) ⋮ Lie-Yamaguti algebras related to \(\mathfrak g_2\)

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