Tensor Products of Composition Algebras, Albert Forms and Some Exceptional Simple Lie Algebras

DOI10.2307/2000817zbMath0649.17006OpenAlexW4251801426MaRDI QIDQ3794359

Bruce N. Allison

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2000817

zbMATH Keywords

involutionscomposition algebrasAlbert formsstructurable algebrasproduct algebrarelative rank 1 Lie algebrastensor product multiplication

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Exceptional (super)algebras (17B25) Composition algebras (17A75)

Related Items (9)

Extremal elements in Lie algebras, buildings and structurable algebras ⋮ Compact realifications of exceptional simple Kantor triple systems defined on tensor products of composition algebras ⋮ The Allison–Faulkner construction of ⋮ Moufang Sets and Structurable Division Algebras ⋮ Structurable \(H^*\)-algebras ⋮ On the tensor product of composition algebras ⋮ Classification of simple linearly compact Kantor triple systems over the complex numbers ⋮ Inner ideals of real simple Lie algebras ⋮ A new construction of Moufang quadrangles of type 𝐸₆,𝐸₇ and 𝐸₈

Cites Work

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