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

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

2009-10-24

arxiv.org/abs/0910.4628v1

Mathematics

Combinatorics

Scientific paper

We characterize that the image of the embedding of the $Q$-polynomial
association scheme into eigenspace by primitive idempotent $E_1$ is a spherical
$t$-design in terms of the Krein numbers. And we show that the strengths of
$P$- and $Q$-polynomial schemes as spherical designs are bounded by constant.

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