Orderly generation of Butson Hadamard matrices

Bilinear forms on finite abelian groups and group-invariant Butson Hadamard matrices

“…An n × n-matrix H with entries from U h is called a Butson Hadamard matrix if HH * = nI, where H * is the complex conjugate transpose of H and I is the identity matrix of order n. We say that H is a BH(n, h) matrix. The Ph.D. thesis [15] of Szöllősi provides a good overview of most of the known results on Butson Hadamard matrices and [6,4] contain more recent work and survey open problems in this area.…”