Degenerate Odd Poisson Bracket on Grassmann Variables
Soroka, V. A.
arXiv, 9811223 / Harvested from arXiv
Text on arXiv
A linear degenerate odd Poisson bracket (antibracket) realized solely on Grassmann variables is presented. It is revealed that this bracket has at once three nilpotent $\Delta$-like differential operators of the first, the second and the third orders with respect to the Grassmann derivatives. It is shown that these $\Delta$-like operators together with the Grassmann-odd nilpotent Casimir function of this bracket form a finite-dimensional Lie superalgebra.
Publié le : 1998-11-25
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Group Theory 
@article{9811223,
     author = {Soroka, V. A.},
     title = {Degenerate Odd Poisson Bracket on Grassmann Variables},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9811223}
}

Soroka, V. A. Degenerate Odd Poisson Bracket on Grassmann Variables. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811223/