Representation theory

Related lectures (29)

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Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

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

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Explores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.

Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

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