Symmetry and Group Theory

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

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Explores symmetry and group theory applications in chemistry, covering matrix representations, normal modes, and harmonic oscillators.

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Covers the concept of point groups and their systematic classification, focusing on linear molecules.

Covers symmetry elements, point groups, and mathematical symmetry operations.

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

Explores symmetry operations in chiral molecules and the identification of point groups.

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

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