Construction of Irreducible Coxeter Groups

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

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

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

Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.

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

Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.

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

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

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

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