Representation Theory: Actions and Invariants

Related lectures (30)

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Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

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

Explains the concept of generators of groups and their mathematical properties.

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.

Covers the basis for irreducible representations and characters of direct product representations.

Covers the spherical Hecke algebra and finite-dimensional unitary representations.

Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.

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

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