Crystallographic Coxeter Groups

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Explores the construction of irreducible Coxeter groups and their geometric properties, focusing on classical and simply laced groups.

Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.

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

Explores eigenvalues of Coxeter elements, cyclic permutations, invariance, and decomposition of eigenspaces.

Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.

Explores Coxeter groups classification, rotation orders, fundamental regions, and geometric equivalence.

Explores Coxeter elements, numbers, and planes in Coxeter groups with illustrative examples.

Covers the classification of Coxeter groups, crystallographic construction, and Coxeter elements.

Explores the classification of positive definite connected Coxeter graphs through detailed calculations and proofs.