15/09/2016, 16:15 — 16:40 — Sala 6.2.38, Faculdade de Ciências da Universidade de Lisboa
Filipe Gomes, Universidade de Lisboa
Supercharacters of unitriangular groups and ramification graphs
In this talk we shall construct a ramification graph associated to the supercharacter theory of the unitriangular groups. This will be a graded graph such that the vertices on the nth level will be the supercharacters of $U_n$ and the edges will be given multiplicities using a form of restriction of supercharacters. We shall also examine how we can associate to this ramification graph a Riesz group and take a closer look at the possibility of defining on this group a product that makes in into a Riesz ring.
