The generating polytope of a cometric association scheme
Presented by Dr. William MARTIN
Type: Oral presentation
Track: Representations of Graphs
Let (X,R) be a cometric (or Q-polynomial) association scheme with Q-polynomial ordering E_0,E_1,...,E_d on its primitive idempotents. As is well-known, a scalar multiple of E_1 is the Gram matrix of a set of |X| unit vectors in dimension m_1=rank E_1. We aim to study the convex hull of this set of vectors and its relation to the combinatorics of the original scheme.