A matrix equation for association schemes |
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Authors: | L. Chihara D. Stanton |
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Affiliation: | (1) Department of Mathematics, St. Olaf College, 55057 Northfield, MN, USA;(2) School of Mathematics, University of Minnesota, 55455 Minneapolis, MN, USA |
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Abstract: | 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.This work was supported by NSF grant DMS-9400510. |
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