Eigenvalues of Coxeter Elements

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Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Explores Coxeter elements, numbers, and planes in Coxeter groups with illustrative examples.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

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

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

Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores the classification theorem for Coxeter groups and the order of F_4.

Covers eigenvalues, eigenvectors, and the Fibonacci sequence, exploring their mathematical properties and practical applications.