Linear Odd Poisson Bracket on Grassmann Algebra
Soroka, Vyacheslav A.
arXiv, 0002031 / Harvested from arXiv
Text on arXiv
A linear odd Poisson bracket realized solely in terms of Grassmann variables is suggested. It is revealed that with the bracket, corresponding to a semi-simple Lie group, both a Grassmann-odd Casimir function and invariant (with respect to this group) nilpotent differential operators of the first, second and third orders are naturally related and enter into a finite-dimensional Lie superalgebra. A connection of the quantities, forming this Lie superalgebra, with the BRST charge, $\Delta$-operator and ghost number operator is indicated.
Publié le : 2000-02-09
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Group Theory 
@article{0002031,
     author = {Soroka, Vyacheslav A.},
     title = {Linear Odd Poisson Bracket on Grassmann Algebra},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002031}
}

Soroka, Vyacheslav A. Linear Odd Poisson Bracket on Grassmann Algebra. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002031/