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Coxeter groups: classification and crystallographic construction
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Explores Coxeter elements, numbers, and planes in Coxeter groups with illustrative examples.
Eigenvalues of Coxeter Elements
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Explores eigenvalues of Coxeter elements, cyclic permutations, invariance, and decomposition of eigenspaces.
Coxeter Groups: Reflections and Fundamental Regions
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Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.
Coxeter Groups: Classification and Exceptional Construction
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Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.
Coxeter Groups: Classification and Fundamental Regions
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Explores Coxeter groups classification, rotation orders, fundamental regions, and geometric equivalence.
Coxeter groups: Generators, Relations, and Word Length
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Explores Coxeter groups, word length, simple reflections, and unique elements.
McKay Graphs of Finite Subgroups of SU(2)
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Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.
Coxeter Groups: Classification Theorem & Order of F_4
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Explores the classification theorem for Coxeter groups and the order of F_4.
Coxeter Groups: Generators and Relations
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Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.
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Explores the classification of positive definite connected Coxeter graphs through detailed calculations and proofs.
Construction of Irreducible Coxeter Groups
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Explores the construction of irreducible Coxeter groups and their geometric properties, focusing on classical and simply laced groups.
Crystallographic Coxeter Groups
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Explores crystallographic Coxeter groups, lattice preservation, and the classification of irreducible Weyl groups.
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