English

On tight projective designs

Combinatorics 2007-05-23 v1

Abstract

It is shown that among all tight designs in FP^n, where F is R, C, or H (quaternions), other than RP^1, only 5-designs in CP^1 have irrational angle set. This is the only case of equal ranks of the first and the last irreducible idempotent in the corresponding Bose-Mesner algebra.

Cite

@article{arxiv.math/0703526,
  title  = {On tight projective designs},
  author = {Yuri I. Lyubich},
  journal= {arXiv preprint arXiv:math/0703526},
  year   = {2007}
}

Comments

10 pages, no figures