Showing math.COShow all
2 papers · 1 filter
math.CO2007
Lower bounds for projective designs, cubature formulas and related isometric embeddings
Yuri Lyubich
Yudin's lower bound for the spherical designs is generalized to the cubature formulas on the projective spaces over a field K, where K can be R, C, or H (the field of quaternions),…
math.CO2007
On tight projective designs
Yuri I. Lyubich
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 e…