Concept
Representation theory of finite groups
Related lectures (144)
Generators of Groups
Explains the concept of generators of groups and their mathematical properties.
Structure of Algebras
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Tensor Product of Representations
Explains the tensor product of representations in quantum physics and the properties of defined actions.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Group Representations Theory Application Overview
Covers the application of group representations theory in quantum physics.
Orthogonality and Characters
Explores orthogonality, irreducible representations, and symmetry properties in physics and group theory.
Projectors on Invariant Subspaces
Covers projectors on invariant subspaces in quantum physics and their applications.
The Schur Lemma: Physical Interpretation
Explores the physical interpretation of the Schur lemma in quantum physics.
Properties of Sylow Subgroups: Group Theory
Explores the beautiful properties of the p-Sylow subgroups of a finite group.
Symmetry and Group Theory: Exercise Set 4
Explores symmetry operations, isomorphic representations, and three-dimensional group representations.