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 |