2 papers
math.CO2026
Quadratic-Defect Completions of Spherical -Design Orbits
Kuan-Cheng Chien, Ming-Hsuan Kang
We study how spherical -designs arising from finite group orbits can be completed to spherical -designs by adjoining further orbits, allowing weights in the general theory. F…
math.CO2025
Spherical 2-Designs from Finite Group Orbits
Kuan-Cheng Chien, Ming-Hsuan Kang
We classify all spherical 2-designs that arise as orbits of finite group actions on real inner product spaces. Although it is well known that such designs can occur in representati…