The Application of Tridiagonal Matrices in P-polynomial Table Algebras

Abstract

In this paper, we calculate the characters of two classes of P-polynomial table algebras. To this end, we apply some linear algebra methods and tridiagonal matrices to obtain the characters of these table algebras.

Some results on characters of a class of P-polynomial table algebras

“…In our previous work [12], we have calculated the character values of two classes of perfect P-polynomial table algebras given in [17] using the eigenstructure of some special tridiagonal matrices. Here, we intend to study the character values of homogeneous monotonic P-polynomial table algebras with finite dimension d ≥ 5 whose first intersection matrix is a (d + 1) × (d + 1) tridiagonal matrix (cf.…”