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arxiv: 1906.06135 · v1 · pith:DHBBCMVTnew · submitted 2019-06-14 · 🧮 math.CO

The Application of Tridiagonal Matrices in P-polynomial Table Algebras

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keywords algebrasmatricesp-polynomialtabletridiagonalapplicationcharacteristiccharacters
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In this paper, we study the characters of two classes of P-polynomial table algebras using tridiagonal matrices. To this end, we obtain some results about the eigen-structure of special tridiagonal matrices. We also find a recursive relation for the characteristic polynomial of the first intersection matrix of P-polynomial table algebras by means of LU factorization.

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