1 
Introduction I 
Prof. P. Ramadevi , IIT Bombay 

Tuesday 

2 
Introduction I 
Prof. P. Ramadevi , IIT Bombay 

Tuesday 

3 
Introduction I 
Prof. P. Ramadevi , IIT Bombay 

Wednesday 

4 
Introduction I 
Prof. P. Ramadevi , IIT Bombay 

Thursday 

5 
Introduction II 
Prof. P. Ramadevi , IIT Bombay 


Friday 


6 
SubGroups and Generators 
Prof. P. Ramadevi , IIT Bombay 


Friday 


7 
Introduction II 
Prof. P. Ramadevi , IIT Bombay 


Saturday 


8 
SubGroups and Generators 
Prof. P. Ramadevi , IIT Bombay 


Saturday 


9 
Introduction II 
Prof. P. Ramadevi , IIT Bombay 


Monday 


10 
SubGroups and Generators 
Prof. P. Ramadevi , IIT Bombay 


Monday 


11 
Permutation Groups [1] and
Cycle Structure [1] 
Prof. P. Ramadevi , IIT Bombay 


Tuesday 


12 
Factor Group, Homomorphism, Isomorphism 
Prof. P. Ramadevi , IIT Bombay 


Tuesday 


13 
Permutation Groups [1] and
Cycle Structure [1] 
Prof. P. Ramadevi , IIT Bombay 


Wednesday 


14 
Factor Group, Homomorphism, Isomorphism 
Prof. P. Ramadevi , IIT Bombay 


Wednesday 


15 
Permutation Groups [1] and
Cycle Structure [1] 
Prof. P. Ramadevi , IIT Bombay 


Thursday 


16 
Factor Group, Homomorphism, Isomorphism 
Prof. P. Ramadevi , IIT Bombay 


Thursday 


17 
Conjugacy Classes 
Prof. P. Ramadevi , IIT Bombay 


Friday 


18 
Permutation Groups 
Prof. P. Ramadevi , IIT Bombay 


Friday 


19 
Conjugacy Classes 
Prof. P. Ramadevi , IIT Bombay 


Saturday 


20 
Permutation Groups 
Prof. P. Ramadevi , IIT Bombay 


Saturday 


21 
Conjugacy Classes 
Prof. P. Ramadevi , IIT Bombay 


Monday 


22 
Permutation Groups 
Prof. P. Ramadevi , IIT Bombay 


Monday 


23 
Cycle Structures 
Prof. P. Ramadevi , IIT Bombay 

Tuesday 

24 
Cycle Structures Contd 
Prof. P. Ramadevi , IIT Bombay 

Tuesday 

25 
Cycle Structures 
Prof. P. Ramadevi , IIT Bombay 

Wednesday 

26 
Cycle Structures Contd 
Prof. P. Ramadevi , IIT Bombay 

Wednesday 

27 
Cycle Structures 
Prof. P. Ramadevi , IIT Bombay 

Thursday 

28 
Cycle Structures Contd 
Prof. P. Ramadevi , IIT Bombay 

Thursday 

29 
Young diagram and molecular symmetry 
Prof. P. Ramadevi , IIT Bombay 


Friday 


30 
Young diagram and molecular symmetry 
Prof. P. Ramadevi , IIT Bombay 


Saturday 


31 
Young diagram and molecular symmetry 
Prof. P. Ramadevi , IIT Bombay 


Monday 


32 
Point groups 
Prof. P Ramadevi , IIT Bombay 

Tuesday 

33 
Symmetries of Molecule, Schoenflies Notation 
Prof. P Ramadevi , IIT Bombay 


Tuesday 


34 
Point groups 
Prof. P Ramadevi , IIT Bombay 

Wednesday 

35 
Symmetries of Molecule, Schoenflies Notation 
Prof. P Ramadevi , IIT Bombay 


Wednesday 


36 
Point groups 
Prof. P Ramadevi , IIT Bombay 

Thursday 

37 
Symmetries of Molecule, Schoenflies Notation 
Prof. P Ramadevi , IIT Bombay 


Thursday 


38 
Examples of Molecular Symmetries, Proof of Cayley
Theorem 
Prof. Ramadevi , IIT Bombay 

Friday 

39 
Examples of Molecular Symmetries, Proof of Cayley
Theorem 
Prof. Ramadevi , IIT Bombay 

Saturday 

40 
Examples of Molecular Symmetries, Proof of Cayley
Theorem 
Prof. Ramadevi , IIT Bombay 

Monday 

41 
Matrix Representation of GroupsI 
Prof. P Ramadevi , IIT Bombay 

Tuesday 

42 
Matrix Representation of GroupsII 
Prof. P Ramadevi , IIT Bombay 

Tuesday 

43 
Matrix Representation of GroupsI 
Prof. P Ramadevi , IIT Bombay 

Wednesday 

44 
Matrix Representation of GroupsII 
Prof. P Ramadevi , IIT Bombay 

Wednesday 

45 
Matrix Representation of GroupsI 
Prof. P Ramadevi , IIT Bombay 

Thursday 

46 
Matrix Representation of GroupsII 
Prof. P Ramadevi , IIT Bombay 

Thursday 

47 
Reducible and Irreducible RepresentationI 
Prof. Ramadevi , IIT Bombay 

Friday 

48 
Reducible and Irreducible RepresentationII 
Prof. Ramadevi , IIT Bombay 

Friday 

49 
Reducible and Irreducible RepresentationI 
Prof. Ramadevi , IIT Bombay 

Saturday 

50 
Reducible and Irreducible RepresentationII 
Prof. Ramadevi , IIT Bombay 

Saturday 

51 
Reducible and Irreducible RepresentationI 
Prof. Ramadevi , IIT Bombay 

Monday 

52 
Reducible and Irreducible RepresentationII 
Prof. Ramadevi , IIT Bombay 

Monday 

53 
Great Orthogonality Theorem and Character 
Prof. Ramadevi , IIT Bombay 

Tuesday 

54 
Great Orthogonality Theorem and Character 
Prof. Ramadevi , IIT Bombay 

Tuesday 

55 
Great Orthogonality Theorem and Character 
Prof. Ramadevi , IIT Bombay 

Wednesday 

56 
Great Orthogonality Theorem and Character 
Prof. Ramadevi , IIT Bombay 

Wednesday 

57 
Great Orthogonality Theorem and Character 
Prof. Ramadevi , IIT Bombay 

Thursday 

58 
Great Orthogonality Theorem and Character 
Prof. Ramadevi , IIT Bombay 

Thursday 

59 
Mulliken Notation, Character Table and Basis 
Prof. Ramadevi , IIT Bombay 

Friday 

60 
Tensor Product of Representation 
Prof. Ramadevi , IIT Bombay 

Friday 

61 
Regular Representation 
Prof. Ramadevi , IIT Bombay 

Friday 

62 
Mulliken Notation, Character Table and Basis 
Prof. Ramadevi , IIT Bombay 

Saturday 

63 
Tensor Product of Representation 
Prof. Ramadevi , IIT Bombay 

Saturday 

64 
Regular Representation 
Prof. Ramadevi , IIT Bombay 

Saturday 

65 
Mulliken Notation, Character Table and Basis 
Prof. Ramadevi , IIT Bombay 

Monday 

66 
Tensor Product of Representation 
Prof. Ramadevi , IIT Bombay 

Monday 

67 
Regular Representation 
Prof. Ramadevi , IIT Bombay 

Monday 

68 
Tensor Product and Projection Operator  II 
Prof. Ramadevi , IIT Bombay 

Tuesday 

69 
Tensor Product and Projection Operator with the
Example 
Prof. Ramadevi , IIT Bombay 

Tuesday 

70 
Binary Basis and Observables 
Prof. Ramadevi , IIT Bombay 

Tuesday 

71 
Tensor Product and Projection Operator  II 
Prof. Ramadevi , IIT Bombay 

Wednesday 

72 
Tensor Product and Projection Operator with the
Example 
Prof. Ramadevi , IIT Bombay 

Wednesday 

73 
Binary Basis and Observables 
Prof. Ramadevi , IIT Bombay 

Wednesday 

74 
Tensor Product and Projection Operator  II 
Prof. Ramadevi , IIT Bombay 

Thursday 

75 
Tensor Product and Projection Operator with the
Example 
Prof. Ramadevi , IIT Bombay 

Thursday 

76 
Binary Basis and Observables 
Prof. Ramadevi , IIT Bombay 

Thursday 

77 
Selection Rules 
Prof. Ramadevi , IIT Bombay 

Friday 

78 
Selection Rules and Molecular Vibrations 
Prof. Ramadevi , IIT Bombay 

Friday 

79 
Selection Rules 
Prof. Ramadevi , IIT Bombay 

Saturday 

80 
Selection Rules and Molecular Vibrations 
Prof. Ramadevi , IIT Bombay 

Saturday 

81 
Selection Rules 
Prof. Ramadevi , IIT Bombay 

Monday 

82 
Selection Rules and Molecular Vibrations 
Prof. Ramadevi , IIT Bombay 

Monday 

83 
Molecular vibration normal modes_ Classical
Mechanics approach 
Prof. Ramadevi , IIT Bombay 

Tuesday 

84 
Molecular vibration normal modes_ Group Theory
approach 
Prof. Ramadevi , IIT Bombay 

Tuesday 

85 
Molecular vibration normal modes_ Classical
Mechanics approach 
Prof. Ramadevi , IIT Bombay 

Wednesday 

86 
Molecular vibration normal modes_ Group Theory
approach 
Prof. Ramadevi , IIT Bombay 

Wednesday 

87 
Molecular vibration normal modes_ Classical
Mechanics approach 
Prof. Ramadevi , IIT Bombay 

Thursday 

88 
Molecular vibration normal modes_ Group Theory
approach 
Prof. Ramadevi , IIT Bombay 

Thursday 

89 
Molecular vibration modes using projection
operator 
Prof. Ramadevi , IIT Bombay 

Friday 

90 
Vibrational representation of character 
Prof. Ramadevi , IIT Bombay 

Friday 

91 
Molecular vibration modes using projection
operator 
Prof. Ramadevi , IIT Bombay 

Saturday 

92 
Vibrational representation of character 
Prof. Ramadevi , IIT Bombay 

Saturday 

93 
Molecular vibration modes using projection
operator 
Prof. Ramadevi , IIT Bombay 

Monday 

94 
Vibrational representation of character 
Prof. Ramadevi , IIT Bombay 

Monday 

95 
Introduction to continuous group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


96 
Introduction to continuous group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


97 
Introduction to continuous group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


98 
Introduction to continuous group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


99 
Introduction to continuous group 
Prof. Ramadevi , IIT Bombay 


Thursday 


100 
Introduction to continuous group 
Prof. Ramadevi , IIT Bombay 


Thursday 


101 
Generators of translational and rotational
transformation 
Prof. Ramadevi , IIT Bombay 


Friday 


102 
Generators of Lorentz transformation 
Prof. Ramadevi , IIT Bombay 


Friday 


103 
Generators of translational and rotational
transformation 
Prof. Ramadevi , IIT Bombay 


Saturday 


104 
Generators of Lorentz transformation 
Prof. Ramadevi , IIT Bombay 


Saturday 


105 
Generators of translational and rotational
transformation 
Prof. Ramadevi , IIT Bombay 


Monday 


106 
Generators of Lorentz transformation 
Prof. Ramadevi , IIT Bombay 


Monday 


107 
Introduction to O(3) and SO(3) group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


108 
SO(n) and Lorentz group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


109 
Introduction to O(3) and SO(3) group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


110 
SO(n) and Lorentz group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


111 
Introduction to O(3) and SO(3) group 
Prof. Ramadevi , IIT Bombay 


Thursday 


112 
SO(n) and Lorentz group 
Prof. Ramadevi , IIT Bombay 


Thursday 


113 
Generalised orthogonal group and Lie algebra 
Prof. Ramadevi , IIT Bombay 


Friday 


114 
Subalgebra of Lie algebra 
Prof. Ramadevi , IIT Bombay 


Friday 


115 
Generalised orthogonal group and Lie algebra 
Prof. Ramadevi , IIT Bombay 


Saturday 


116 
Subalgebra of Lie algebra 
Prof. Ramadevi , IIT Bombay 


Saturday 


117 
Generalised orthogonal group and Lie algebra 
Prof. Ramadevi , IIT Bombay 


Monday 


118 
Subalgebra of Lie algebra 
Prof. Ramadevi , IIT Bombay 


Monday 


119 
gl(2,C) and sl(2,C) group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


120 
U(n) and SU(n) group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


121 
Symplectic group 
Prof. Ramadevi , IIT Bombay 


Tuesday 


122 
gl(2,C) and sl(2,C) group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


123 
U(n) and SU(n) group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


124 
Symplectic group 
Prof. Ramadevi , IIT Bombay 


Wednesday 


125 
gl(2,C) and sl(2,C) group 
Prof. Ramadevi , IIT Bombay 


Thursday 


126 
U(n) and SU(n) group 
Prof. Ramadevi , IIT Bombay 


Thursday 


127 
Symplectic group 
Prof. Ramadevi , IIT Bombay 


Thursday 


128 
SU(2) and SU(3) groups 
Prof. Ramadevi , IIT Bombay 


Friday 


129 
Rank, weight and weight vector 
Prof. Ramadevi , IIT Bombay 


Friday 


130 
SU(2) and SU(3) groups 
Prof. Ramadevi , IIT Bombay 


Saturday 


131 
Rank, weight and weight vector 
Prof. Ramadevi , IIT Bombay 


Saturday 


132 
SU(2) and SU(3) groups 
Prof. Ramadevi , IIT Bombay 


Monday 


133 
Rank, weight and weight vector 
Prof. Ramadevi , IIT Bombay 


Monday 


134 
Lecture 46 _ Weight vector, root vector,
comparison between SU(2) and SU(3) algebra 
Prof. Ramadevi , IIT Bombay 

Tuesday 

135 
Lecture 47 _ Root diagram, simple roots, adjoint
representation 
Prof. Ramadevi , IIT Bombay 


Tuesday 


136 
Lecture 48 _ SU(2) subalgebra, Dynkin diagrams 
Prof. Ramadevi , IIT Bombay 


Tuesday 


137 
Lecture 46 _ Weight vector, root vector,
comparison between SU(2) and SU(3) algebra 
Prof. Ramadevi , IIT Bombay 

Wednesday 

138 
Lecture 47 _ Root diagram, simple roots, adjoint
representation 
Prof. Ramadevi , IIT Bombay 


Wednesday 


139 
Lecture 48 _ SU(2) subalgebra, Dynkin diagrams 
Prof. Ramadevi , IIT Bombay 


Wednesday 


140 
Lecture 46 _ Weight vector, root vector,
comparison between SU(2) and SU(3) algebra 
Prof. Ramadevi , IIT Bombay 

Thursday 

141 
Lecture 47 _ Root diagram, simple roots, adjoint
representation 
Prof. Ramadevi , IIT Bombay 


Thursday 


142 
Lecture 48 _ SU(2) subalgebra, Dynkin diagrams 
Prof. Ramadevi , IIT Bombay 


Thursday 


143 
Fundamental weights, Young diagrams, dimension of
irreducible representation 
Prof. Ramadevi , IIT Bombay 

Friday 

144 
Young diagrams and tensor products 
Prof. Ramadevi , IIT Bombay 

Friday 

145 
Tensor product, Wigner aÌ‚â‚¬â€œ Eckart theorem 
Prof. Ramadevi , IIT Bombay 

Friday 

146 
Fundamental weights, Young diagrams, dimension of
irreducible representation 
Prof. Ramadevi , IIT Bombay 

Saturday 

147 
Young diagrams and tensor products 
Prof. Ramadevi , IIT Bombay 

Saturday 

148 
Tensor product, Wigner aÌ‚â‚¬â€œ Eckart theorem 
Prof. Ramadevi , IIT Bombay 

Saturday 

149 
Fundamental weights, Young diagrams, dimension of
irreducible representation 
Prof. Ramadevi , IIT Bombay 

Monday 

150 
Young diagrams and tensor products 
Prof. Ramadevi , IIT Bombay 

Monday 

151 
Tensor product, Wigner aÌ‚â‚¬â€œ Eckart theorem 
Prof. Ramadevi , IIT Bombay 

Monday 

152 
Tensor product of irreducible representation 1_
Composite objects from fundamental particles 
Prof. Ramadevi , IIT Bombay 

Tuesday 

153 
Tensor product of irreducible representation 2_
Decimet and octet diagrams in the Quark Model 
Prof. Ramadevi , IIT Bombay 

Tuesday 

154 
Tensor product of irreducible representation 1_
Composite objects from fundamental particles 
Prof. Ramadevi , IIT Bombay 

Wednesday 

155 
Tensor product of irreducible representation 2_
Decimet and octet diagrams in the Quark Model 
Prof. Ramadevi , IIT Bombay 

Wednesday 

156 
Tensor product of irreducible representation 1_
Composite objects from fundamental particles 
Prof. Ramadevi , IIT Bombay 

Thursday 

157 
Tensor product of irreducible representation 2_
Decimet and octet diagrams in the Quark Model 
Prof. Ramadevi , IIT Bombay 

Thursday 

158 
Tensor product of irreducible representation 1_
Composite objects from fundamental particles 
Prof. Ramadevi , IIT Bombay 

Friday 

159 
Tensor product of irreducible representation 2_
Decimet and octet diagrams in the Quark Model 
Prof. Ramadevi , IIT Bombay 

Friday 

160 
Tensor product of irreducible representation 1_
Composite objects from fundamental particles 
Prof. Ramadevi , IIT Bombay 

Saturday 

161 
Tensor product of irreducible representation 2_
Decimet and octet diagrams in the Quark Model 
Prof. Ramadevi , IIT Bombay 

Saturday 

162 
Tensor product of irreducible representation 1_
Composite objects from fundamental particles 
Prof. Ramadevi , IIT Bombay 

Monday 

163 
Tensor product of irreducible representation 2_
Decimet and octet diagrams in the Quark Model 
Prof. Ramadevi , IIT Bombay 

Monday 

164 
Symmetry breaking in continuous groups 
Prof. Ramadevi , IIT Bombay 


Tuesday 


165 
Dynamical symmetry in hydrogen atom_ SO(4) algebra 
Prof. Ramadevi , IIT Bombay 

Tuesday 

166 
Hydrogen atom energy spectrum and degeneracy using
RungeLenz vector 
Prof. Ramadevi , IIT Bombay 


Tuesday 


167 
Symmetry breaking in continuous groups 
Prof. Ramadevi , IIT Bombay 


Wednesday 


168 
Dynamical symmetry in hydrogen atom_ SO(4) algebra 
Prof. Ramadevi , IIT Bombay 

Wednesday 

169 
Hydrogen atom energy spectrum and degeneracy using
RungeLenz vector 
Prof. Ramadevi , IIT Bombay 


Wednesday 


170 
Symmetry breaking in continuous groups 
Prof. Ramadevi , IIT Bombay 


Thursday 


171 
Dynamical symmetry in hydrogen atom_ SO(4) algebra 
Prof. Ramadevi , IIT Bombay 

Thursday 

172 
Hydrogen atom energy spectrum and degeneracy using
RungeLenz vector 
Prof. Ramadevi , IIT Bombay 


Thursday 

