Group Repetition Theory: Character Representations

Related lectures (30)

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Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Covers the definition of solvable groups and the abelian property of group quotients.

Covers exact sequences, torsion, divisibility, and operations on abelian groups.

Explains the tensor product of representations in quantum physics and the properties of defined actions.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Explores the concept of p-subgroups of Sylow in group theory, emphasizing the philosophy of studying mathematical objects 'one prime at a time'.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Explores abelian groups from a categorical perspective, discussing the coproduct construction.

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