@article{ab4ae8ce24794945a72d151c78248302,
title = "A geometric characterization of the symplectic Lie algebra",
abstract = "We provide a characterization of symplectic Lie algebras over fields of characteris-tic ≠ 2 as Lie algebras generated by extremal elements in which any two extremal elements x and y either commute or generate an sl2, and for any three extremal elements x;y; z in g with [x; y] ≠ 0, there is an extremal u in the subalgebra ≺x; y≻ commuting with z.",
keywords = "buildings, extremal elements, Lie algebras, symplectic geometries",
author = "Hans Cuypers and Yael Fleischmann",
year = "2023",
doi = "10.2140/iig.2023.20.223",
language = "English",
volume = "20",
pages = "223--245",
journal = "Innovations in Incidence Geometry",
issn = "2640-7337",
publisher = "Mathematical Sciences Publishers",
number = "2-3",
}