A new division algebra representation of E6 from E8
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Publication:6123728
DOI10.1063/5.0175189arXiv2309.00078OpenAlexW4393026133MaRDI QIDQ6123728
Corinne A. Manogue, Tevian Dray, Robert A. Wilson
Publication date: 8 April 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.00078
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- Squaring the magic
- The magic square of Lie groups: the \(2 \times 2\) case
- Fermions and octonions
- Magic squares and matrix models of Lie algebras.
- Exceptional Lie algebras, \(su(3)\), and Jordan pairs
- Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra
- On Jordan-Clifford algebras, three fermion generations with Higgs fields and a \(\mathrm{SU}(3) \times \mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)\) model
- One generation of standard model Weyl representations as a single copy of \(\mathbb{R} \otimes \mathbb{C} \otimes \mathbb{H} \otimes \mathbb{O}\)
- Lie groups in the foundations of geometry
- Division algebraic symmetry breaking
- Division algebra representations of SO(4, 2)
- Division Algebras and Supersymmetry I
- Octonionic Cayley Spinors and E6
- Finite Lorentz transformations, automorphisms, and division algebras
- Division algebras, (pseudo)orthogonal groups and spinors
- Deducing the symmetry of the standard model from the automorphism and structure groups of the exceptional Jordan algebra
- A demonstration that electroweak theory can violate parity automatically (leptonic case)
- The magic star of exceptional periodicity
- E6, the group: The structure of SL(3, 𝕆)
- Discovering real lie subalgebras of $\mathfrak {e}_6$e6 using Cartan decompositions
- Exceptional Lie algebras, SU(3) and Jordan pairs: part 2. Zorn-type representations
- A Symplectic Representation of $\mathrm{E}_7$
- Spin(11, 3), particles, and octonions
- Octions: An E8 description of the Standard Model
- An octonionic construction of \(E_8\) and the Lie algebra magic square
- A new division algebra representation of E7 from E8
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