# InfoCoBuild

## Theory of Groups for Physics Applications

Theory of Groups for Physics Applications. Instructor: Prof. Urjit A. Yajnik, Department of Physics, IIT Bombay. Group Theory is the mathematics of symmetry. It is used extensively in quantum theory. There are applications to molecular structure, spectroscopy, crystal structure and to elementary particle physics. (from nptel.ac.in)

 Introduction

 Lecture 01 - Introduction Lecture 02 - Algebraic Preliminaries Lecture 03 - Basic Group Concepts and Low Order Groups Lecture 04 - Basic Group Concepts and Low Order Groups (cont.) Lecture 05 - Lagrange's Theorem and Cayley's Theorem Lecture 06 - Lagrange's Theorem and Cayley's Theorem (cont.) Lecture 07 - Factor Group Conjugacy Classes Lecture 08 - Factor Group Conjugacy Classes (cont.) Lecture 09 - Cycle Structures and Molecular Notation Lecture 10 - Cycle Structures and Molecular Notation (cont.) Lecture 11 - Cycle Structures and Classification Lecture 12 - Cycle Structures and Classification (cont.) Lecture 13 - Point Group Notation and Factor Group Lecture 14 - Point Group Notation and Factor Group (cont.) 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 Lecture 20 - Schur's Lemma and Orthogonality Theorem (cont.) Lecture 21 - Orthogonality for Characters Lecture 22 - Orthogonality for Characters (cont.) Lecture 23 - Character Tables and Molecular Applications Lecture 24 - Character Tables and Molecular Applications (cont.) Lecture 25 - Preliminaries about the Continuum Lecture 26 - Preliminaries about the Continuum (cont.) Lecture 27 - Classical Groups Lecture 28 - Classical Groups (cont.) Lecture 29 - Classical Groups - Topology Lecture 30 - Classical Groups - Topology (cont.) Lecture 31 - SO(3) and Matrix Exponent Lecture 32 - SO(3) and Matrix Exponent (cont.) Lecture 33 - Generators, Discussion of Lie's Theorems Lecture 34 - Generators, Discussion of Lie's Theorems (cont.) Lecture 35 - Group Algebras; SO(3)-SU(2) Correspondence Lecture 36 - Group Algebras; SO(3)-SU(2) Correspondence (cont.) Lecture 37 - SO(3), SU(2) Representations Lecture 38 - SO(3), SU(2) Representations (cont.) Lecture 39 - Representation on Function Spaces Lecture 40 - Representation on Function Spaces (cont.) Lecture 41 - Lorentz Boosts, SO(3,1) Algebra Lecture 42 - Lorentz Boosts, SO(3,1) Algebra (cont.) Lecture 43 - Representation of Lorentz Group and Clifford Algebra Lecture 44 - Representation of Lorentz Group and Clifford Algebra (cont.) Lecture 45 - SU (3) and Lie's Classification Lecture 46 - SU (3) and Lie's Classification: SU(3) Irreducible Lecture 47 - Fundamental Symmetries of Physics Lecture 48 - Fundamental Symmetries of Physics (cont.)

 References Theory of Groups for Physics Applications Instructor: Prof. Urjit A. Yajnik, Department of Physics, IIT Bombay. Group Theory is the mathematics of symmetry. It is used extensively in quantum theory.