4 citations · 7 across the 4 of their papers we have counts for
7 papers
From cubic norm pairs to - and -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 , and when the cubic…
Constructing Chayet-Garibaldi algebras from affine vertex algebras (including the 3876-dimensional algebra for )
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 (of dimension $…
Non-associative Frobenius algebras for simply laced Chevalley groups
Tom De Medts, Michiel Van Couwenberghe
We provide an explicit construction for a class of commutative, non-associative algebras for each of the simple Chevalley groups of simply laced type. Moreover, we equip these alge…
Suzuki-Ree groups as algebraic groups over
Tom De Medts, Karsten Naert
Among the infinite classes of finite simple groups, the most exotic classes are probably the Suzuki groups and the Ree groups. They are "twisted versions" of groups of Lie type, bu…
Moufang sets and structurable division algebras
Lien Boelaert, Tom De Medts, Anastasia Stavrova
A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regu…
An inequality detecting nilpotency of finite groups
Tom De Medts, Marius Tărnăuceanu
In this short note, we provide an inequality that holds in any finite group, only involving the orders of the elements; we prove that equality holds if and only if the group is nil…