Mathematics Colloquium on March 18

by Erhard Neher, University of Ottawa

Steinberg Groups and Jordan pairs

In this talk I will describe a concrete construction of groups as groups of automorphisms of certain Lie algebras and an abstract construction by generators and relations. The concrete groups in question cover most classical groups over rings and also make their appearance in geometry. The abstract groups are called Steinberg groups because they generalize the groups defined by Steinberg. The two types of groups are related via central extensions. The main methods to make the constructions work come from Jordan pairs, but no prior knowledge of Jordan pairs will be assumed. 

Social Media