Coxeter Groups: Reflections and Fundamental Regions

Related lectures (30)

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

Explores the classification of positive definite connected Coxeter graphs through detailed calculations and proofs.

Explores Coxeter groups, word length, simple reflections, and unique elements.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Covers the classification of Coxeter groups, crystallographic construction, and Coxeter elements.

Explores crystallographic Coxeter groups, lattice preservation, and the classification of irreducible Weyl groups.

Explores the properties of simple roots and reflections in Coxeter groups, emphasizing uniqueness and linear independence.

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

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

Explores the standard form of isometries in R^n and the preservation of distances.