5 papers
Latin squares with maximal partial transversals of many lengths
Anthony B. Evans, Adam Mammoliti, Ian Wanless
A partial transversal of a Latin square is a set of entries of in which each row, column and symbol is represented at most once. A partial transversal is maximal if it…
Infinite Latin Squares: Neighbor Balance and Orthogonality
Anthony B. Evans, Gage N. Martin, Kaethe Minden +1
Regarding neighbor balance, we consider natural generalizations of -complete Latin squares and Vatican squares from the finite to the infinite. We show that if is an infinit…
Symmetrization of Jordan dialgebras
Murray R. Bremner
A basic problem for any class of nonassociative algebras is to determine the polynomial identities satisfied by the symmetrization and the skew-symmetrization of the original produ…
The Magic Star of Exceptional Periodicity
Piero Truini, Michael Rios, Alessio Marrani
We present a periodic infinite chain of finite generalisations of the exceptional structures, including e8, the exceptional Jordan algebra (and pair), and the octonions. We demonst…
The Mile High Magic Pyramid
A. Anastasiou, L. Borsten, M. J. Duff +3
Using a unified formulation of , super Yang-Mills theories in spacetime dimensions with fields valued respectively in , it wa…