Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-19
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 1 figure, LaTex file with epsf.sty, Lecture given at the Workshop on Non Commutative Geometry and Superstring Theory
Scientific paper
Supersymmetry and super-Lie algebras have been consistently generalized previously. The so-called fractional supersymmetry and $F-$Lie algebras could be constructed starting from any representation $\D$ of any Lie algebra $g$. This involves taking the $F^{\mathrm th}$ root of $\D$ in some sense. We show, after having constructed differential realization(s) of any Lie algebra, how fractional supersymmetry can be explicitly realized in terms of appropriate homogeneous monomials.
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