Concept
Coxeter–Dynkin diagram
Related lectures (33)
Coxeter Groups: Simple Reflections and Conjugacy
Explores the theorem that an element sending all simple roots to simple roots is the identity in Coxeter groups.
McKay Graphs of Finite Subgroups of SU(2)
Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.
Coxeter Groups: Elements, Numbers, and Planes
Explores Coxeter elements, numbers, and planes in Coxeter groups with illustrative examples.
Multiple Reflection Diagram Example
Demonstrates the application of multiple reflection diagrams to analyze signal behavior in transmission lines.
Determinants: Triangular Matrices and Efficient Calculations
Explores efficient determinant calculations using triangular matrices and specific row/column selections for simplification.
Coxeter groups: classification and crystallographic construction
Covers the classification of Coxeter groups, crystallographic construction, and Coxeter elements.
Eigenvalues of Coxeter Elements
Explores eigenvalues of Coxeter elements, cyclic permutations, invariance, and decomposition of eigenspaces.
Representation Theory: Finite Subgroups of SU(2)
Explores representation theory and character theory of finite groups, including scalar product and McKay graph.
Coxeter Groups: Classification and Exceptional Construction
Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.
Coxeter Groups: Classification and Fundamental Regions
Explores Coxeter groups classification, rotation orders, fundamental regions, and geometric equivalence.