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Coxeter–Dynkin diagram
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Coxeter groups: reflections, rotations
Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.
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.
Geometric McKay correspondence: Du Val singularities and Dynkin diagrams
Explores the derivation of Dynkin diagrams from Du Val singularities.
Multiple Reflection Diagrams: Examples
Explores multiple reflection diagrams and their application to voltage and current analysis.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.