On the multiplicities of the primitive idempotents of a Q-polynomial distance-regular graph

• Main Author: Pascasio, Arlene A.
• Format: text
• Published: Animo Repository 2002
• Subjects: Algebras, Linear; Polynomials; Algebra
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/3606; https://animorepository.dlsu.edu.ph/context/faculty_research/article/4608/type/native/viewcontent/eujc.2002.0607
• Institution: De La Salle University

Ito, Tanabe and Terwilliger recently introduced the notion of a tridiagonal pair. We apply their results to distance-regular graphs and obtain the following theorem. THEOREM. Let Γ denote a distance-regular graph with diameter D ≥ 3. Suppose Γ is Q-polynomial with respect to the ordering E0, E1,...,...