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Lie Groups and Representation Theory

MATH 7162.01: Lie Groups and Representation Theory

Basic group theory constructions; passage between a Lie group and its Lie algebra; homogeneous spaces; maximal tori; unitary trick and complete reducibility; classification of irreducible unitary representations; Cartan-Weyl theory.
Prereq: 7161.01 and 6701. Not open to students with credit for 7162.02.
Credit Hours
3.0

Course Description Download:

Textbook

Title: Lie Groups: Beyond an Introduction
Edition: 2nd
Author: Knapp
Publisher: Springer
ISBN: 9780817642594

Semester(s) Offered:

Spring