127 citations · 148 across the 4 of their papers we have counts for
4 papers
Z_n^3-graded Poincare superalgebras
Bertrand Le Roy
Using colored superanalysis and epsilon-Lie superalgebras, we build the minimal Poincare superalgebra in the case of the Z_n^3-grading. We then build a representation of this algeb…
Z_n^3-graded colored supersymmetry
Bertrand Le Roy
We build generalizations of the Grassmann algebras from a few simple assumptions which are that they are graded, maximally symmetric and contain an ordinary Grassmann algebra as a…
Hypersymmetry: a Z_3-graded generalization of supersymmetry
Viktor Abramov, Richard Kerner, Bertrand Le Roy
We propose a generalization of non-commutative geometry and gauge theories based on ternary Z_3-graded structures. In the new algebraic structures we define, we leave all products…
A Z_3-graded generalization of supermatrices
Bertrand Le Roy
We introduce Z_3-graded objects which are the generalization of the more familiar Z_2-graded objects that are used in supersymmetric theories and in many models of non-commutative…