Details of MA5104 (Autumn 2019)
Level: 5  Type: Theory  Credits: 4.0 
Course Code  Course Name  Instructor(s) 

MA5104  Representation theory for topological groups  Sayan Bagchi, Swarnendu Datta 
Syllabus 

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. 
Prerequisite 

Algebra I (MA3102), Functional Analysis (MA4102)

References 

References
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.  Programme  Semester No  Course 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 