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Geometry of symmetric spaces of type EVI

Group Theory 2022-08-30 v1

Abstract

We generalize Atsuyama's result on the geometry of symmetric spaces of type EVI to the case of arbitrary field of characteristic zero. We relate the possible mutual positions of two points with the classification of balanced symplectic ternary algebras (also known as Freudenthal triple systems).

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Cite

@article{arxiv.2208.13730,
  title  = {Geometry of symmetric spaces of type EVI},
  author = {Victor A. Petrov and Andrei V. Semenov},
  journal= {arXiv preprint arXiv:2208.13730},
  year   = {2022}
}

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11 pages