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E6, the group: The structure of SL(3, 𝕆)

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Publication:5251116
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DOI10.1142/S0219498815500917zbMath1332.17009arXiv1212.3182OpenAlexW2960138034MaRDI QIDQ5251116

Aaron Wangberg, Tevian Dray

Publication date: 22 May 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3182


zbMATH Keywords

Lie groupsoctonionsexceptional Lie algebras\(E_6\)


Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Semisimple Lie groups and their representations (22E46)


Related Items

Subalgebras of the split octonions ⋮ 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



Cites Work

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  • On an algebraic generalization of the quantum mechanical formalism
  • On a certain algebra of quantum mechanics
  • Finite Lorentz transformations, automorphisms, and division algebras
  • Division algebras, (pseudo)orthogonal groups and spinors
  • Discovering real lie subalgebras of $\mathfrak {e}_6$e6 using Cartan decompositions
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