Representation theory of the symmetric group

Related lectures (32)

Page 3 of 4

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Covers the summary and rules related to bases of representations in Symmetry 2021.

Covers the tensor product of representations, combining group representations to form new ones.

Introduces essential properties of Cartesian products and disjoint unions in the theory of groups and categories.

Explores orthogonality, irreducible representations, and symmetry properties in physics and group theory.

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

Covers projectors on invariant subspaces in quantum physics and their applications.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

Covers the theory of groups and homotopical algebra, emphasizing natural transformations, identities, and isomorphism of categories.