English

A matrix equation for association schemes

Combinatorics 2016-09-06 v1 Classical Analysis and ODEs

Abstract

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

Keywords

Cite

@article{arxiv.math/9406225,
  title  = {A matrix equation for association schemes},
  author = {Laura M. Chihara and Dennis W. Stanton},
  journal= {arXiv preprint arXiv:math/9406225},
  year   = {2016}
}