19 citations · 201 across the 54 of their papers we have counts for
5 papers · 1 filter
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…
Commutativity in double interchange semigroups
Fatemeh Bagherzadeh, Murray Bremner
We extend the work of Kock (2007) and Bremner & Madariaga (2016) on commutativity in double interchange semigroups (DIS) to relations with 10 arguments. Our methods involve the fre…
On tortkara triple systems
Murray Bremner
The commutator in a free Zinbiel algebra (dual Leibniz algebra) is an anticommutative operation which satisfies no new relations in arity 3. Dzhumadildaev discove…
Boardman--Vogt tensor products of absolutely free operads
Murray Bremner, Vladimir Dotsenko
We establish a combinatorial model for the Boardman--Vogt tensor product of several absolutely free operads, that is free symmetric operads that are also free as -modul…