A Symplectic Representation of $\mathrm{E}_7$

zbMath1340.17016arXiv1311.0341MaRDI QIDQ5496723

Corinne A. Manogue, Robert A. Wilson, Tevian Dray

Publication date: 27 January 2015

Full work available at URL: https://arxiv.org/abs/1311.0341

zbMATH Keywords

symplectic matricesoctonionsexceptional algebraFreudenthal-Tits magic square\(E_7\)

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Nonassociative division algebras (17A35) Exceptional groups (20G41)

Related Items (7)

Octions: An E8 description of the Standard Model ⋮ Subalgebras of the split octonions ⋮ Klein and conformal superspaces, split algebras and spinor orbits ⋮ 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 ⋮ The symplectic origin of conformal and Minkowski superspaces

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