2 papers
math.GM2025
Real and complex spherical designs and their Gramian
Shayne Waldron
If a (weighted) spherical design is defined as an integration (cubature) rule for a unitarily invariant space P of polynomials (on the sphere), then any unitary image of it is also…
math.GR2025
An elementary classification of the quaternionic reflection groups of rank two
Shayne Waldron
We give an elementary classification and presentation of the finite quaternionic reflection groups of rank two, based on the notion of a``reflection system''. This simplifies the e…