Group Theory: Reducible and Irreducible Representations

Related lectures (30)

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Covers the application of group representations theory in quantum physics.

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Explores the physical interpretation of the Schur lemma in quantum physics.

Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.