12. A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects
Bernhard Schmidt · 2019
This survey concerns the following closely related concepts: - Group invariant Butson matrices, - generalized bent functions, - cyclic n-roots, - generalized Hadamard matrices, - abelian splitting semiregular difference sets. We explain the connections between these notions and show that group invariant Butson matrices can be viewed as their “common denominator.” We also review the most relevant known results on these objects, some of which are quite recent.