# Group Theory methods in Physics

- Institution: IIT Bombay
- Department: Physics
- Teacher: Prof. P. Ramadevi
- Level: Undergraduate
- Language: English
- Subjects: Physics
- Source: [NPTEL](https://nptel.ac.in/courses/115101122)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/115101122)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1 : Introduction I](https://invisiblenetwork.ai/learn/nptel/115101122/0cfe96d3ce60) (Video)
2. [Lecture 2 : Introduction II](https://invisiblenetwork.ai/learn/nptel/115101122/8ba0b9963dfb) (Video)
3. [Lecture 3 : Normal subgroup, Coset, Conjugate group](https://invisiblenetwork.ai/learn/nptel/115101122/1d78deaa6331) (Video)
4. [Lecture 4 : Factor group, Homomorphism, Isomorphism](https://invisiblenetwork.ai/learn/nptel/115101122/af2c5a46b300) (Video)
5. [Lecture 5 : Factor group, Homomorphism, Isomorphism](https://invisiblenetwork.ai/learn/nptel/115101122/df3041a1794b) (Video)
6. [Lecture 6 : Conjugacy Classes](https://invisiblenetwork.ai/learn/nptel/115101122/b7708bc95fda) (Video)
7. [Lecture 7 : Permutation Groups](https://invisiblenetwork.ai/learn/nptel/115101122/388a2442b951) (Video)
8. [Lecture 8 : Cycle Structure](https://invisiblenetwork.ai/learn/nptel/115101122/d20f35f97224) (Video)
9. [Lecture 9 : Cycle Structure Continued](https://invisiblenetwork.ai/learn/nptel/115101122/48a700f6731e) (Video)
10. [Lecture 10 : Young Diagram and Molecular Symmetry](https://invisiblenetwork.ai/learn/nptel/115101122/7be7371b104e) (Video)
11. [Lecture 11 : Point Groups](https://invisiblenetwork.ai/learn/nptel/115101122/6e9b746d6bf5) (Video)
12. [Lecture 12 : Symmetries of Molecules, Schoenflies Notation](https://invisiblenetwork.ai/learn/nptel/115101122/cfcea7104321) (Video)
13. [Lecture 13 : Symmetries of Molecules, Stereographic Projection](https://invisiblenetwork.ai/learn/nptel/115101122/2dd574bb852f) (Video)
14. [Lecture 14 : Examples of Molecular Symmetries and Proof of Cayley Theorem](https://invisiblenetwork.ai/learn/nptel/115101122/891c145eed16) (Video)
15. [Lecture 15 : Matrix Representation of Groups - I](https://invisiblenetwork.ai/learn/nptel/115101122/ba0228b034aa) (Video)
16. [Lecture 16 : Matrix Representation of Groups - II](https://invisiblenetwork.ai/learn/nptel/115101122/e76181bd9ef5) (Video)
17. [Lecture 17 : Reducible and Irreducible Representation - I](https://invisiblenetwork.ai/learn/nptel/115101122/501ecb72c131) (Video)
18. [Lecture 18 : Reducible and Irreducible Representation - II](https://invisiblenetwork.ai/learn/nptel/115101122/0b7ed78bd026) (Video)
19. [Lecture 19 : Great Orthogonality Theorem and Character Table - I](https://invisiblenetwork.ai/learn/nptel/115101122/577bcb575a8c) (Video)
20. [Lecture 20 : Great Orthogonality Theorem and Character Table - II](https://invisiblenetwork.ai/learn/nptel/115101122/9711edd0adf3) (Video)
21. [Lecture 21 : Mulliken Notation, Character Table and Basis](https://invisiblenetwork.ai/learn/nptel/115101122/f121c0797703) (Video)
22. [Lecture 22 : Tensor Product of Representation](https://invisiblenetwork.ai/learn/nptel/115101122/07333f836837) (Video)
23. [Lecture 23 : Tensor Product and Projection Operator - I](https://invisiblenetwork.ai/learn/nptel/115101122/65d5792ebecd) (Video)
24. [Lecture 24 : Tensor Product and Projection Operator - II](https://invisiblenetwork.ai/learn/nptel/115101122/a7c1194badca) (Video)
25. [Lecture 25 : Tensor Product and Projection Operator with an example](https://invisiblenetwork.ai/learn/nptel/115101122/d807fcac5642) (Video)
26. [Lecture 26 : Binary Basis and Observables](https://invisiblenetwork.ai/learn/nptel/115101122/50401c91ebcb) (Video)
27. [Lecture 27 : Selection Rules](https://invisiblenetwork.ai/learn/nptel/115101122/2df5462623dc) (Video)
28. [Lecture 28 : Selection Rules and Molecular Vibrations](https://invisiblenetwork.ai/learn/nptel/115101122/c5f9afd9ccae) (Video)
29. [Lecture 29 : Molecular vibration normal modes: Classical Mechanics approach](https://invisiblenetwork.ai/learn/nptel/115101122/54bade030155) (Video)
30. [Lecture 30 : Molecular vibration normal modes: Group Theory approach](https://invisiblenetwork.ai/learn/nptel/115101122/5f565214380d) (Video)
31. [Lecture 31 : Molecular vibration modes using projection operator](https://invisiblenetwork.ai/learn/nptel/115101122/9d482b75a4bd) (Video)
32. [Lecture 32 : Vibrational representation of character](https://invisiblenetwork.ai/learn/nptel/115101122/37034d1a2fa2) (Video)
33. [Lecture 33 : Infrared Spectra and Raman Spectra](https://invisiblenetwork.ai/learn/nptel/115101122/ab6dddd27a3b) (Video)
34. [Lecture 34 : Introduction to continuous group](https://invisiblenetwork.ai/learn/nptel/115101122/0ac0b64d4548) (Video)
35. [Lecture 35 : Generators of translational and rotational transformation](https://invisiblenetwork.ai/learn/nptel/115101122/8342ea400308) (Video)
36. [Lecture 36 : Generators of Lorentz transformation](https://invisiblenetwork.ai/learn/nptel/115101122/88b55355b57b) (Video)
37. [Lecture 37 : Introduction to O(3) and SO(3) group](https://invisiblenetwork.ai/learn/nptel/115101122/30a903664ba6) (Video)
38. [Lecture 38 : SO(n) and Lorentz group](https://invisiblenetwork.ai/learn/nptel/115101122/78ea4d52befd) (Video)
39. [Lecture 39 : Generalised orthogonal group and Lie algebra](https://invisiblenetwork.ai/learn/nptel/115101122/186ce56f9fd1) (Video)
40. [Lecture 40 : Subalgebra of Lie algebra](https://invisiblenetwork.ai/learn/nptel/115101122/0df8fac6d8bb) (Video)
41. [Lecture 41 : gl(2,C) and sl(2,C) group](https://invisiblenetwork.ai/learn/nptel/115101122/7eb020a1a56c) (Video)
42. [Lecture 42 : U(n) and SU(n) group](https://invisiblenetwork.ai/learn/nptel/115101122/0a947d44611a) (Video)
43. [Lecture 43 : Symplectic group](https://invisiblenetwork.ai/learn/nptel/115101122/68c5dfc9cdbb) (Video)
44. [Lecture 44 : SU(2) and SU(3) groups](https://invisiblenetwork.ai/learn/nptel/115101122/d038f1554aa8) (Video)
45. [Lecture 45 : Rank, weight and weight vector](https://invisiblenetwork.ai/learn/nptel/115101122/3bb3a38807a9) (Video)
46. [Lecture 46 : Weight vector, root vector, comparison between SU(2) and SU(3) algebra.](https://invisiblenetwork.ai/learn/nptel/115101122/125446bdb903) (Video)
47. [Lecture 47 : Root diagram, simple roots, adjoint representation](https://invisiblenetwork.ai/learn/nptel/115101122/d461f76f62a3) (Video)
48. [Lecture 48 : SU(2) sub-algebra, Dynkin diagrams](https://invisiblenetwork.ai/learn/nptel/115101122/a136c8ba6a68) (Video)
49. [Lecture 49 : Fundamental weights, Young diagrams, dimension of irreducible representation.](https://invisiblenetwork.ai/learn/nptel/115101122/a359efe1f596) (Video)
50. [Lecture 50 : Young diagrams and tensor products](https://invisiblenetwork.ai/learn/nptel/115101122/0e7129e38d17) (Video)
51. [Lecture 51 : Tensor product, Wigner - Eckart theorem](https://invisiblenetwork.ai/learn/nptel/115101122/a952de768f34) (Video)
52. [Lecture 52 : Tensor product of irreducible representation 1: Composite objects from fundamental particles](https://invisiblenetwork.ai/learn/nptel/115101122/21d7de0a0502) (Video)
53. [Lecture 53 : Tensor product of irreducible representation 2: Decimet and octet diagrams in the Quark Model](https://invisiblenetwork.ai/learn/nptel/115101122/c4e31db425f6) (Video)
54. [Lecture 54 : Clebsch - Gordan coefficients](https://invisiblenetwork.ai/learn/nptel/115101122/19728903a0f5) (Video)
55. [Lecture 55 : 1) Quadrupole moment tensor (Wigner-Eckart theorem) 2) Decimet Baryon wavefunction](https://invisiblenetwork.ai/learn/nptel/115101122/edab8afa16fc) (Video)
56. [Lecture 56 : Higher dimensional multiplets in the quark model](https://invisiblenetwork.ai/learn/nptel/115101122/84b94455af55) (Video)
57. [Lecture 57 : Symmetry breaking in continuous groups](https://invisiblenetwork.ai/learn/nptel/115101122/b620f66fb1bb) (Video)
58. [Lecture 58 : Dynamical symmetry in hydrogen atom: SO(4) algebra](https://invisiblenetwork.ai/learn/nptel/115101122/bbe8785740a8) (Video)
59. [Lecture 59 : Hydrogen atom energy spectrum and degeneracy using Runge-Lenz vector](https://invisiblenetwork.ai/learn/nptel/115101122/2d59d42e2be2) (Video)
60. [Live Session 30-03-2021](https://invisiblenetwork.ai/learn/nptel/115101122/0cfe96d3ce60-2) (Video)
61. [Live Session 27-02-2020](https://invisiblenetwork.ai/learn/nptel/115101122/8ba0b9963dfb-2) (Video)
62. [Live Session 18-03-2020](https://invisiblenetwork.ai/learn/nptel/115101122/1d78deaa6331-2) (Video)
63. [Live Session 22-02-2022](https://invisiblenetwork.ai/learn/nptel/115101122/af2c5a46b300-2) (Video)
64. [Live Session 30-03-2022](https://invisiblenetwork.ai/learn/nptel/115101122/df3041a1794b-2) (Video)
65. [Live Session 19-02-2024](https://invisiblenetwork.ai/learn/nptel/115101122/b7708bc95fda-2) (Video)
66. [Live Session 10-04-2024](https://invisiblenetwork.ai/learn/nptel/115101122/388a2442b951-2) (Video)
67. [Live Session 10-02-2025](https://invisiblenetwork.ai/learn/nptel/115101122/d20f35f97224-2) (Video)
68. [Live Session 24-03-2025](https://invisiblenetwork.ai/learn/nptel/115101122/48a700f6731e-2) (Video)