Ternary Numbers, Algebras of Reflexive Numbers and Berger Graphs

@article{Dubrovski2006TernaryNA,
  title={Ternary Numbers, Algebras of Reflexive Numbers and Berger Graphs},
  author={Alexey Dubrovski and Guennadi Volkov},
  journal={Advances in Applied Clifford Algebras},
  year={2006},
  volume={17},
  pages={159-181}
}
Abstract.The Calabi-Yau spaces with SU(n) holonomy can be studied by the algebraic way through the integer lattice where one can construct the Newton reflexive polyhedra or the Berger graphs. Our conjecture is that the Berger graphs can be directly related with the n-ary algebras. To find such algebras we study the n-ary generalization of the well-known binary norm division algebras, $${\mathbb{R}}, {\mathbb{C}}, {\mathbb{H}}, {\mathbb{O}}$$ , which helped to discover the most important… 
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