4 papers · 1 filter
Jordan algebras and weight modules
Michael Lau, Olivier Mathieu
We consider bounded weight modules for the universal central extension of the Tits-Kantor-Koecher algebra of a unital Jordan algebra . Universal objects c…
Estimating the dimension of Thurston spine
Olivier Mathieu
For g at least 2, the Thurston spine Pg is the subspace of Teichmueller space Tg , consisting of the marked surfaces for which the set of shortest curves, the systoles, cuts the su…
Small Systle Sets and Coxeter Groups
Ingrid Irmer, Olivier Mathieu
The systoles of a hyperbolic surface Σ are the shortest closed geodesics. We say that the systoles fill the surface if the set Syst(Σ) of all systoles cuts Σ into polygons. We refi…
Linearity and Nonlinearity of Groups of Polynomial Automorphisms of the Plane
Olivier Mathieu
Given a field , we investigate which subgroups of the group Aut of polynomial automorphisms of the plane are linear or not. The results are contrasted. The group…