Details of MA5110 (Autumn 2025)
| Level: 5 | Type: Theory | Credits: 4.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| MA5110 | Introduction to Lie Algebra | Arjun Paul, Sayan Bagchi |
| Syllabus |
|---|
| Finite dimensional Lie algebras, Ideals, homomorphisms, solvable and nilpotent Lie algebras, semisimple Lie algebras, Jordon decomposition, killing form, complete reducibility of representations, root space decomposition, root systems, Weyl group, classification theorem, construction of root systems. |
| Prerequisite |
|---|
| Linear Algebra II (MA3104) |
| References |
|---|
| Suggested Texts:
1. Humphreys, J.E. Introduction to Lie Algebras and Representation Theory, Springer-Verlag, 1972. 2. Serre, J.P. Complex Semisimple Lie Algebras, Springer, 2001. 3. Fulton, W. and Harris, J. Representation Theory: A First Course, Springer-Verlag, 1991. |
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 | MP | 1 | Not Allowed |
| 5 | MP | 3 | Not Allowed |
| 6 | MR | 1 | Not Allowed |
| 7 | MR | 3 | Not Allowed |
| 8 | MS | 3 | Not Allowed |
| 9 | MS | 5 | Not Allowed |
| 10 | MS | 7 | Not Allowed |
| 11 | MS | 9 | Elective |
| 12 | RS | 1 | Elective |
| 13 | RS | 2 | Elective |