T. Medts

collaborators

4 papers

math.RA2026

From cubic norm pairs to $G_{2}$ - and $F_{4}$ -graded groups and Lie algebras

Tom De Medts, Torben Wiedemann

We construct Lie algebras arising from cubic norm pairs over arbitrary commutative base rings. Such Lie algebras admit a grading by a root system of type $G_{2}$ , and when the cubic…

math.RA2026

Constructing Chayet-Garibaldi algebras from affine vertex algebras (including the 3876-dimensional algebra for $E_{8}$ )

Tom De Medts, Louis Olyslager

In 2021, Maurice Chayet and Skip Garibaldi provided an explicit construction of a commutative non-associative algebra on the second smallest representation of $E_{8}$ (of dimension $…

math.GR2025

Lattice envelopes of right-angled Artin groups

Pierre-Emmanuel Caprace, Tom De Medts

Let $I^$ be a finite simplicial graph with at least two vertices, and let $G (I^)$ be the associated right-angled Artin group. We describe a locally compact group $U$ conta…

math.RA2025

$5 \times 5$ -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…

From cubic norm pairs to G2​- and F4​-graded groups and Lie algebras

Constructing Chayet-Garibaldi algebras from affine vertex algebras (including the 3876-dimensional algebra for E8​)

Lattice envelopes of right-angled Artin groups

5×5-graded Lie algebras, cubic norm structures and quadrangular algebras

From cubic norm pairs to $G_{2}$ - and $F_{4}$ -graded groups and Lie algebras

Constructing Chayet-Garibaldi algebras from affine vertex algebras (including the 3876-dimensional algebra for $E_{8}$ )

$5 \times 5$ -graded Lie algebras, cubic norm structures and quadrangular algebras