Lectures related to Coxeter group

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Explores groups and numbers, emphasizing the hidden subgroup problem and its complexities in classic and quantum algorithms.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explains root system classification and fundamental regions in Coxeter groups.

Explores representation theory and character theory of finite groups, including scalar product and McKay graph.

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