The Fundamental Group
In this chapter, we will look more closely at the fundamental group of a compact Lie group G. We will show that it is a finitely generated Abelian group and that every loop in G can be deformed into any given maximal torus. The key arguments are topological and are adapted from Adams .
KeywordsFundamental Group Maximal Torus Dense Open Subset Finite Union Local Homeomorphism
Unable to display preview. Download preview PDF.