Appears in collection : 2025 - T1 - Representation theory and noncommutative geometry

The 3 lectures are introduction to representation theory of reductive real Lie groups at the level of the book ”Representation theory of semisimple Lie groups: An overview based on examples” by A.W. Knapp. All the concepts and theorems will be illustrated by examples, but I will give references for the detailed proofs. In each lecture I will give some suggested homework and reading.

Lecture 2. We will discuss the representations of SU(2), SL(2, R) and of SL(2, C).

Watch part 1

Watch part 3