Coxeter Groups: Classification and Exceptional Construction

Related lectures (30)

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

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

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

Explores the theorem that an element sending all simple roots to simple roots is the identity in Coxeter groups.

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

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

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

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

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

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