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Octonion X, Y-productG 2 variants

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Abstract

The automorphism group G 2 of the octonions changes when octonion X, Y -product variants are used. I present here a general solution for how to go from G 2 to its X, Y -product variant.

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References

  1. G. M. Dixon,Division Algebras: Octonions, Quaternions, Complex Numbers, and the Algebraic Design of Physics (Kluwer, Dordrecht, 1994).

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  2. G. M. Dixon, “Octonion X-product variants,≓ hep-th 9410202 (email: hep-th@xxx.lanl.gov, subject: get 9410202).

  3. G. M. Dixon, “Octonion X-product and octonionE8 lattices,≓ hep-th 9411063 (email: hep-th@xxx.lanl.gov, subject: get 9411063).

  4. G. M. Dixon, “Octonion XY-product,≓ hep-th 9503053 (email: hep-th@xxx.lanl.gov, subject: get 9503053).

  5. M. Cederwall and C. R. Preitschopf, “S7 andS7. hep-th 9309030 (email: hep-th@xxx. lanl.gov, subject: get 9309030).

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Authors and Affiliations

  1. Department of Physics, Brandeis University, 02254, Waltham, Massachusetts

    Geoffrey Dixon

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  1. Geoffrey Dixon
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Happy birthday to Larry Horwitz. If there's a next time, you must come.

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Dixon, G. Octonion X, Y-productG 2 variants. Found Phys 26, 1601–1605 (1996). https://doi.org/10.1007/BF02282123

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  • DOI: https://doi.org/10.1007/BF02282123

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