NPTEL : NOC:Theory of Groups for Physics Applications (Physics)

Co-ordinators : Prof. Urjit A. Yajnik


Lecture 1 - Introduction

Lecture 2 - Algebraic Preliminaries

Lecture 3 - Basic Group Concepts and Low Order Groups - I

Lecture 4 - Basic Group Concepts and Low Order Groups - II

Lecture 5 - Lagrange's Theorem and Cayley's Theorem - I

Lecture 6 - Lagrange's Theorem and Cayley's Theorem - II

Lecture 7 - Factor Group Conjugacy Classes - I

Lecture 8 - Factor Group Conjugacy Classes - II

Lecture 9 - Cycle Structures and Molecular Notation - I

Lecture 10 - Cycle Structures and Molecular Notation - II

Lecture 11 - Cycle Structures and Classification - I

Lecture 12 - Cycle Structures and Classification - II

Lecture 13 - Point Group Notation and Factor Group - I

Lecture 14 - Point Group Notation and Factor Group - II

Lecture 15 - Representation Theory - I

Lecture 16 - Representation Theory - II

Lecture 17 - Representation Theory - III

Lecture 18 - Representation Theory - IV

Lecture 19 - Schur's Lemma and Orthogonality Theorem - I

Lecture 20 - Schur's Lemma and Orthogonality Theorem - II

Lecture 21 - Orthogonality For Characters - I

Lecture 22 - Orthogonality For Characters - II

Lecture 23 - Character Tables and Molecular Applications - I

Lecture 24 - Character Tables and Molecular Applications - II

Lecture 25 - Preliminaries About The Continuum - I

Lecture 26 - Preliminaries About The Continuum - II

Lecture 27 - Classical Groups - I

Lecture 28 - Classical Groups - II

Lecture 29 - Classical Groups-Topology - I

Lecture 30 - Classical Groups-Topology - II

Lecture 31 - SO(3) And Matrix Exponent - I

Lecture 32 - SO(3) And Matrix Exponent - II

Lecture 33 - Generators, Discussion Of Lie's Theorems - I

Lecture 34 - Generators, Discussion Of Lie's Theorems - II

Lecture 35 - Group Algebras; SO(3)-SU(2) Correspondence - I

Lecture 36 - Group Algebras; SO(3)-SU(2) Correspondence - II

Lecture 37 - SO(3), SU(2) Representations - I

Lecture 38 - SO(3), SU(2) Representations - II

Lecture 39 - Representation On Function Spaces - I

Lecture 40 - Representation On Function Spaces - II

Lecture 41 - Lorentz Boosts, SO(3,1) Algebra - I

Lecture 42 - Lorentz Boosts, SO(3,1) Algebra - II

Lecture 43 - Representation Of Lorentz Group And Clifford Algebra - I

Lecture 44 - Representation Of Lorentz Group And Clifford Algebra - II

Lecture 45 - SU(3) And Lie's Classification - I

Lecture 46 - SU(3) And Lie's Classification - II

Lecture 47 - Fundamental Symmetries Of Physics - I

Lecture 48 - Fundamental Symmetries Of Physics - II