Aude Nguyen

Constructions and automorphisms of Kac-Moody groups and amalgam presentation of their Borel subgroups

We plan to investigate the geometry of the Borel subgroups of Kac-Moody groups (infinite-dimensional analogues of Lie groups). In our project we intend to study the unipotent radical of a Borel group in a Kac-Moody group. The aim is to obtain enough information in order to generalize several results about groups of Lie-type to Kac-Moody groups. There are essentially 3 topics:

1. Existence of certain Suzuki-Ree twists of Kac-Moody groups in positive characteristic.
2. Concrete amalgam presentations for Borel groups.
3. Combinatorial constructions Kac-Moody groups.

Supervisor:
Prof. B. Mühlherr, ULB.