Universal Property of Centers and Centralizers
Master's Thesis Proposal with Garrett Oren (Dept. of Mathematical Sciences, MSU
Tuesday, March 23rd Zoom Meeting
Abstract:
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.