Relations and Subsystems

Related lectures (30)

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Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores representations of C3v symmetry, character tables, Mulliken symbols, and group theory applications in eigenfunctions.

Explores character representations in group repetition theory, discussing irreducibility, equivalence, and associated values.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Explores representation theory and character theory of finite groups, including scalar product and McKay graph.

Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.

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

Explores irreducible and reducible representations in group repetition theory and the lemma of Schur in quantum physics.

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

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