3 papers
math.RA2024
-graded Lie algebras, cubic norm structures and quadrangular algebras
Tom De Medts, Jeroen Meulewaeter
We study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show: (1) If the extremal geometry contains lines, then the Lie a…
math.GR2024
Lattice envelopes of right-angled Artin groups
Pierre-Emmanuel Caprace, Tom De Medts
Let be a finite simplicial graph with at least two vertices, and let be the associated right-angled Artin group. We describe a locally compact group contain…
math.GR2023
Matsuo algebras in characteristic 2
Tom De Medts, Mathias Stout
We extend the theory of Matsuo algebras, which are certain non-associative algebras related to 3-transposition groups, to characteristic 2. Instead of idempotent elements associate…