Coxeter groups: classification and crystallographic construction

Related lectures (29)

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

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

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

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

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

Explores the Lee-Yang theory, covering connected graphs, paths, phase diagrams, and analytic continuation.