Introduction to Representation Theory - Part 3/3

By Birgit Speh

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 3. We will discuss principal series representations, intertwining operators and the Langlands classification of irreducible representations.

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Watch part 2

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