The Lie theory of connected pro-Lie groups

by Hofmann, Karl Heinrich.

Lectures on Lie groups

by J. Frank Adams

Representations Of Finite And Lie Groups

by Charles B. Thomas

Our topic is the representation theory of finite and, more generally, of compact topological groups.

Locally Compact Groups (EMS Textbooks in Mathematics)

by Markus Stroppel

This chapter introduces the basic notions from topology that are needed later on.