The Coxeter complex is a mathematical concept that arises in the field of geometry and combinatorial group theory. It is closely associated with Coxeter groups, which are groups generated by reflections across hyperplanes in a Euclidean space. The Coxeter complex provides a way to visualize the geometric structure related to these groups.
Articles by others on the same topic
The Coxeter complex has faces represented by cosets of standard parabolic subgroups, ordered by reverse inclusion. Geometrically, its maximal simplices are the chambers of the Coxeter arrangement intersected with a sphere.