Details of MA4202 (Spring 2013)
| Level: 4 | Type: Theory | Credits: 3.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA4202 | Representations of Groups and Algebras | Himadri Mukherjee, Saugata Bandyopadhyay |
| Syllabus |
|---|
| Representations of Finite Groups : Definitions, Schurs theorem, characters, induced representation and restrictions, group algebra, representations in positive characteristic, representation of symmetric groups, Young's tableaux, character formulas, Schur functors.
Lie Groups and Lie Algebras : Definitions, exponential map, semi-simple Lie algebras, representations of SLn(C), GLn(C), representations of sl2(C). Classifications of Complex Simple Lie Algebras : The classification theorem, root system, Dynkin diagrams, associating an algebra with a diagram, classifying all simple Dynkin diagrams. |
| References |
|---|
| 1. Fulton, W. and Harris, J., Representation Theory : A First Course, Graduate Texts in Mathematics, Springer-Verlag, 1989.
2. Musili, C., Representations of finite groups, Hindustan Book Agency, 1993. 3. Fulton, W., Young Tableaux with Applications to Representation Theory and Geometry, Cambridge University Press, 1997. |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 2 | Elective |
| 2 | IP | 4 | Elective |
| 3 | MS | 8 | Core |
| 4 | RS | 1 | Elective |