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

Amiraslani, Amir and Koohestani, Masoumeh and Barghi, Amir Rahnamai (2024) Some results on characters of a class of P-polynomial table algebras. Miskolc Mathematical Notes, 25 (1). pp. 49-62. ISSN 1787-2413

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Abstract

In this paper, we study the character values of homogeneous monotonic P-polynomial table algebras with finite dimension d ≥ 5. To this end, we obtain a trigonometric polynomial to calculate the eigenvalues of the first intersection matrix of these table algebras using the z-transform. Finally by applying some methods for tridiagonal matrices, the character values of these table algebras are given in terms of Chebyshev polynomials.

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