English

On spherical designs obtained from $Q$-polynomial association schemes

Combinatorics 2009-10-27 v1

Abstract

We characterize that the image of the embedding of the QQ-polynomial association scheme into eigenspace by primitive idempotent E1E_1 is a spherical tt-design in terms of the Krein numbers. And we show that the strengths of PP- and QQ-polynomial schemes as spherical designs are bounded by constant.

Cite

@article{arxiv.0910.4628,
  title  = {On spherical designs obtained from $Q$-polynomial association schemes},
  author = {Sho Suda},
  journal= {arXiv preprint arXiv:0910.4628},
  year   = {2009}
}
R2 v1 2026-06-21T14:02:49.282Z