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Lecture
Coxeter Groups: Classification and Fundamental Regions
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Related lectures (20)
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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.
Coxeter Groups: Classification Theorem & Order of F_4
Explores the classification theorem for Coxeter groups and the order of F_4.
Crystallographic Coxeter Groups
Explores crystallographic Coxeter groups, lattice preservation, and the classification of irreducible Weyl groups.
Coxeter Groups: Geometric Equivalence and Positive Definite Graphs
Explores the geometric equivalence of Coxeter groups with the same graph and positive definite matrices.
Coxeter Groups: Simple Roots and Reflections
Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.
Coxeter groups: reflections, rotations
Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.
Coxeter Groups: Root System Classification and Fundamental Regions
Explains root system classification and fundamental regions in Coxeter groups.
Coxeter Groups: Spectral Theorem and Sylvester's Criterion
Explores the spectral theorem, Coxeter graphs, eigenvalues, and determinants of positive definite matrices.
McKay Correspondence and Coxeter Groups
Explores the McKay correspondence, Coxeter groups, and finite subgroups of SU(2) and SO(3, emphasizing odd order properties and root system constructions.
Representation Theory: Finite Subgroups of SU(2)
Explores representation theory and character theory of finite groups, including scalar product and McKay graph.