Universal Property of Centers and Centralizers
Master's Thesis Proposal with Garrett Oren (Dept. of Mathematical Sciences, MSU
Tuesday, March 23rd Zoom Meeting
The center, or the largest commutative subobject, of algebraic structures plays a critical role in understanding these objects. We first present the classical notions of center of some common algebraic structures. Then we use a categorical definition to find the center and more generally centralizer of any given morphism in several categories of algebraic structures.
We also discuss geometric implications and some examples of centralizers.