Linear Lie Groups and Representations

Topological groups, compact groups, representation theory, Schur’s lemma, Peter-Weyl theorem, Linear Lie groups,
Lie algebras, exponential map, adjoint representation, representation theory of SU (2) and SO(3), Fourier series of
smooth functions of these groups.

Books

• Bagchi, S. C., Madan, S., Sitaram, A., and Tewari, U. B., Linear Lie Groups and Representations : University Press, 2000.
• Hall, B. C., Lie Groups and Lie Algebras, Springer-Verlag, 2003.
• Folland, G. B., Abstract Harmonic Analysis, SRC Press, 1995.
• Bump, D., Lie Groups, Springer-Verlag, 2004.