66 citations · 232 across the 47 of their papers we have counts for
49 papers
Amusing Permutation Representations of Group Extensions
Yongju Bae, J. Scott Carter, Byeorhi Kim
Semi-direct products of finite groups have permutation representations that are constructed from the permutation representations of their constituents. One can envision these in a…
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…
A prismatic classifying space
J. Scott Carter, Victoria Lebed, Seung Yeop Yang
A qualgebra is a set having two binary operations that satisfy compatibility conditions which are modeled upon a group under conjugation and multiplication. We develop a homolo…
Some Elementary Aspects of 4-dimensional Geometry
J. Scott Carter, David A. Mullens
We indicate that Heron's formula (which relates the square of the area of a triangle to a quartic function of its edge lengths) can be interpreted as a scissors congruence in 4-dim…