MMN-4403
Some results on characters of a class of P-polynomial table algebras
Amir Amiraslani; Masoumeh Koohestani; Amir Rahnamai Barghi;Abstract
In this paper, we study the character values of homogeneous monotonic P-polynomial table algebras with finite dimension $d\geq 5$. To this end, we obtain a trigonometric polynomial to calculate the eigenvalues of the first intersection matrix of these table algebras using $\mathbf{z}$-transform. Finally by applying some methods for tridiagonal matrices, the character values of these table algebras are given in terms of Chebyshev polynomials.
Vol. 25 (2024), No. 1, pp. 49-62