Coxeter Groups: Classification and Fundamental Regions

Related lectures (20)

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

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

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

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

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

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

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

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

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

Explores Coxeter groups, word length, simple reflections, and unique elements.