6 papers
Complex generalised weighing matrices in centraliser algebras of monomial representations
Ronan Egan, Padraig à Catháin, Andrea Švob
An matrix with exactly non-zero entries taken from the set of complex roots of unity in each row and column satisfying is a com…
Cliques in graphs constructed from Strongly Orthogonal Subsets in exceptional root systems
Patrick J. Browne, Pádraig à Catháin
Given a root system , two roots are said to be \emph{strongly orthogonal} if neither their sum nor difference is a root. Gashi defined a family of graphs with vertices labelled…
Symmetries of regular -graphs
Daniel R Hawtin, Padraig à Catháin
Given a finite vector space , the -analogue of a graph, called a -graph, is a pair , where is the set of -dim…
A generalisation of bent vectors for Butson Hadamard matrices
José Andrés Armario, Ronan Egan, Hadi Kharaghani +1
An complex matrix with entries in the roots of unity which satisfies is called a Butson Hadamard matrix. While a matrix with…
Centraliser algebras of monomial representations and applications in combinatorics
Santiago Barrera Acevedo, Padraig à Catháin, Heiko Dietrich +1
Centraliser algebras of monomial representations of finite groups may be constructed and studied using methods similar to those employed in the study of permutation groups. Guided…
Extendibility of Latin Hypercuboids
Candida Bowtell, Alice Devillers, André Kündgen +2
A Latin hypercuboid of order is a -dimensional matrix of dimensions , with symbols from a set of cardinality such that each symbol…