Discovering real lie subalgebras of $\mathfrak {e}_6$e6 using Cartan decompositions

DOI10.1063/1.4818503zbMath1284.17002arXiv1212.3200OpenAlexW3105380010MaRDI QIDQ5407659

Aaron Wangberg, Tevian Dray

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3200

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (5)

A new division algebra representation of E6 from E8 ⋮ A new division algebra representation of E7 from E8 ⋮ The magic square of Lie groups: the \(2 \times 2\) case ⋮ Gradings on the real form 𝔢6,−26 ⋮ E₆, the group: The structure of SL(3, 𝕆)

Cites Work

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• On an algebraic generalization of the quantum mechanical formalism
• Octonionic Cayley Spinors and E6
• Finite Lorentz transformations, automorphisms, and division algebras

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