Coxeter–Dynkin diagram

Related lectures (26)

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

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

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

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

Explores the classification and properties of simple complex Lie algebras, emphasizing their connection with Lie groups.

Demonstrates the application of multiple reflection diagrams to analyze signal behavior in transmission lines.

Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.

Explores the geometric equivalence of Coxeter groups with the same graph and positive definite matrices.

Explains root system classification and fundamental regions in Coxeter groups.

Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.