Fractional Supersymmetry and Lie Algebras
de Traubenberg, M. Rausch
arXiv, 0007150 / Harvested from arXiv
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.
Publié le : 2000-07-19
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Representation Theory
@article{0007150,
     author = {de Traubenberg, M. Rausch},
     title = {Fractional Supersymmetry and Lie Algebras},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0007150}
}
de Traubenberg, M. Rausch. Fractional Supersymmetry and Lie Algebras. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0007150/