English

Geometry of symmetric spaces of type EIII

Group Theory 2022-05-03 v1

Abstract

In this paper we generalize Atsuyama result on the geometry of symmetric spaces of type EIII to the case of arbitrary fields of characteristic not 2 or 3. As an application we prove a variant of "Chain lemma" for microweight tori in groups of type E6.

Keywords

Cite

@article{arxiv.2205.00509,
  title  = {Geometry of symmetric spaces of type EIII},
  author = {Viktor Petrov and Andrei Semenov},
  journal= {arXiv preprint arXiv:2205.00509},
  year   = {2022}
}