论文信息 - A matrix equation for association schemes

A matrix equation for association schemes

Let be a self-dual P-polynomial association scheme. Then there are at most 12 diagonal matricesT such that (PT)3 =I. Moreover, all of the solutions for the classical infinite families of such schemes (including the Hamming scheme) are classified.

Dennis Stanton | Laura M. Chihara

[1] Modular invariance property and spin models attached to cyclic group association schemes , 1996 .

[2] T. Chihara,et al. An Introduction to Orthogonal Polynomials , 1979 .

[3] E. Bannai,et al. Algebraic Combinatorics I: Association Schemes , 1984 .