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math.RA2020
Inner ideals and structurable algebras: Moufang sets, triangles and hexagons
Tom De Medts, Jeroen Meulewaeter
We construct Moufang sets, Moufang triangles and Moufang hexagons using inner ideals of Lie algebras obtained from structurable algebras via the Tits--Kantor--Koecher construction.…
math.GR2020
Topological and algebraic properties of universal groups for right-angled buildings
Jens Bossaert, Tom De Medts
We study universal groups for right-angled buildings. Inspired by Simon Smith's work on universal groups for trees, we explicitly allow local groups that are not necessarily finite…