Coxeter groups: reflections, rotations

Related lectures (31)

Page 1 of 4

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

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

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

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

Explores eigenvalues of Coxeter elements, cyclic permutations, invariance, and decomposition of eigenspaces.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.

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