Details of MA5104 (Autumn 2019)

Level: 5 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(s)
MA5104 Representation theory for topological groups Sayan Bagchi,
Swarnendu Datta

Topological groups, Quotient groups, Haar measure on a locally compact group, Hilbert transform and Spectral theorem, Representations of groups, Irreducibility and Schur's lemma, Examples of irreducible representations for SU(2), Peter Weyl theorem.

Algebra I (MA3102), Functional Analysis (MA4102)


1.) K. Chandrasekharan, "A course on topological groups" , Texts and readings in Mathematics/ 9, Hindusthan Book Agency.

2.) S. C. Bagchi, S. Madan, A. Sitaram, U. B. Tiwari, A first course on representation theory and linear Lie groups, University Press, 2000.

3.) Mitsou Sugiura, Unitary Representations and Harmonic Analysis, John Wiley & Sons, 1975.

4.) Mark R. Sepanski, " Compact Lie groups", Graduate text in Mathematics, 235, Springer

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Not Allowed
2 IP 3 Not Allowed
3 IP 5 Not Allowed
4 MR 1 Not Allowed
5 MR 3 Not Allowed
6 MS 9 Elective
7 RS 1 Not Allowed
8 RS 2 Not Allowed