Q-polynomial distance-regular graphs and a double affine Hecke algebra of rank one

On the Multiplicities of the Primitive I

On the Multiplicities of the Primitive Idempotents of a Q-Polynomial Distance-regular Graph

✍ Arlene A Pascasio 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 154 KB

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 denote a distance-regular graph with diameter D ≥ 3. Suppose is Q-polynomial with respect to the ordering E 0 , E 1 , . . . , E D of