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Course11510110448 lectures

Theory of groups for physics applications

Prof. Urjit A. Yajnik · IIT Bombay

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Lecture 1: Introduction Video
  2. Lecture 2: Algebraic Preliminaries Video
  3. Lecture 3: Basic Group Concepts & Low Order Groups-I Video
  4. Lecture 4: Basic Group Concepts & Low Order Groups-II Video

Week 2

  1. Lecture 5: Lagrange's Theorem & Cayley's Theorem-I Video
  2. Lecture 6: Lagrange's Theorem & Cayley's Theorem-II Video
  3. Lecture 7: Factor Group Conjugacy Classes-I Video
  4. Lecture 8: Factor Group Conjugacy Classes-II Video

Week 3

  1. Lecture 9: Cycle Structures & Molecular Notation-I Video
  2. Lecture 10: Cycle Structures & Molecular Notation-II Video
  3. Lecture 11: Cycle Structures & Classification-I Video
  4. Lecture 12: Cycle Structures & Classification-II Video

Week 4

  1. Lecture 13: Point Group Notation & Factor Group-I Video
  2. Lecture 14: Point Group Notation & Factor Group-II Video
  3. Lecture 15: Representation Theory-I Video
  4. Lecture 16: Representation Theory-II Video

Week 5

  1. Lecture 17: Representation Theory-III Video
  2. Lecture 18: Representation Theory-IV Video
  3. Lecture 19: Schur's Lemma & Orthogonality Theorem-I Video
  4. Lecture 20: Schur's Lemma & Orthogonality Theorem-II Video

Week 6

  1. Lecture 21: Orthogonality For Characters-I Video
  2. Lecture 22: Orthogonality For Characters-II Video
  3. Lecture 23: Character Tables & Molecular Applications-ILecture 23: Character Tables & Molecular Applications-I Video
  4. Lecture 24: Character Tables & Molecular Applications-II Video

Week 7

  1. Lecture 25: Preliminaries About The Continuum-I Video
  2. Lecture 26: Preliminaries About The Continuum-II Video
  3. Lecture 27: Classical Groups-I Video
  4. Lecture 28: Classical Groups-II Video

Week 8

  1. Lecture 29: Classical Groups-Topology-I Video
  2. Lecture 30: Classical Groups-Topology-II Video
  3. Lecture 31: SO(3) And Matrix Exponent-I Video
  4. Lecture 32: SO(3) And Matrix Exponent-II Video

Week 9

  1. Lecture 33: Generators, Discussion Of Lie's Theorems-I Video
  2. Lecture 34: Generators, Discussion Of Lie's Theorems-II Video
  3. Lecture 35: Group Algebras; SO(3)-SU(2) Correspondence-I Video
  4. Lecture 36: Group Algebras; SO(3)-SU(2) Correspondence-II Video

Week 10

  1. Lecture 37: SO(3), SU(2) Representations-I Video
  2. Lecture 38: SO(3), SU(2) Representations-II Video
  3. Lecture 39: Representation On Function Spaces-I Video
  4. Lecture 40: Representation On Function Spaces-II Video

Week 11

  1. Lecture 41: Lorentz Boosts, SO(3,1) Algebra-I Video
  2. Lecture 42: Lorentz Boosts, SO(3,1) Algebra-II Video
  3. Lecture 43: Representation Of Lorentz Group And Clifford Algebra-I Video
  4. Lecture 44: Representation Of Lorentz Group And Clifford Algebra-II Video

Week 12

  1. Lecture 45: SU(3) And Lie's Classification-I Video
  2. Lecture 46: SU(3) And Lie's Classification-II Video
  3. Lecture 47: Fundamental Symmetries Of Physics-I Video
  4. Lecture 48: Fundamental Symmetries Of Physics-II Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Bombay
Department
Physics
Teacher
Prof. Urjit A. Yajnik
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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