Abstract

We prove the uniqueness of the inclusion of the long root geometries of type $E_6$ and $E_7$ as full embeddings in the one of type $E_8$; the latter always arises as an equator geometry, the former as an intersection of two appropriate such equator geometries. Along the way, several other embedding results are obtained, notably featuring the subsequent point residuals of the above geometries.

Keywords

Mathematical Subject Classification

Milestones

Authors