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.
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Lie Groups: Beyond an Introduction