Group Theory: Characters and Representations

Related lectures (30)

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

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

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

Explores the construction of matrices representing group representations and the importance of symmetry in characterizing physical phenomena.

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

Covers molecular orbitals, symmetry species, IR and Raman modes, isomer spectroscopy, and character tables.

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

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

Explores the importance of irreducible representations and orthogonality in group theory.

Explores weight space decomposition and proves that a connected linear algebraic group with all semi-simple elements must be a torus.