Representation Theory: Finite Subgroups of SU(2)

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Covers the representation theory of groups, focusing on actions and invariants.

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

Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores the classification theorem for Coxeter groups and the order of F_4.

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

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Explores crystallographic Coxeter groups, lattice preservation, and the classification of irreducible Weyl groups.

Covers the isotopic decomposition of modules into simple components and their properties.