Publicaties
Topological and algebraic properties of universal groups for right-angled buildings Universiteit Gent
Decomposition algebras and axial algebras Universiteit Gent
Modules over axial algebras Universiteit Gent
Moufang sets and structurable division algebras Universiteit Gent
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 regular normal subgroups are called the root groups, and they are assumed to be conjugate and to generate the whole group. It has been known for some time that every Jordan division algebra gives rise to a Moufang set with abelian root groups. We extend this result by ...
Open subgroups of the automorphism group of a right-angled building Universiteit Gent
Mini-workshop : rank one groups and exceptional algebraic groups Universiteit Gent
Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups SL2(k). The most interesting examples arise from exceptional algebraic groups of relative rank one. This class of groups is, in turn, intimately related to structurable algebras. The goal of the mini-workshop was to bring together experts on these topics in order to make progress towards a better understanding of the structure of rank one ...