Coxeter Groups: Reflections and Fundamental Regions

Related lectures (30)

Page 1 of 3

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

Explains root system classification and fundamental regions in Coxeter groups.

Explores the construction of irreducible Coxeter groups and their geometric properties, focusing on classical and simply laced groups.

Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.

Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.

Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.

Explores Coxeter groups classification, rotation orders, fundamental regions, and geometric equivalence.

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

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

Explores the theorem that an element sending all simple roots to simple roots is the identity in Coxeter groups.