Linear Odd Poisson Bracket on Grassmann Algebra
| dc.creator | Soroka, Vyacheslav A. | |
| dc.date | 2000-02-10 | |
| dc.date.accessioned | 2026-07-07T04:27:40Z | |
| dc.date.available | 2026-07-07T04:27:40Z | |
| dc.description | 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, $Δ$-operator and ghost number operator is indicated. | |
| dc.description | 8 pages, LATEX 2.09. The talk given at the International Seminar "Supersymmetries and Quantum Symmetries" (SQS'99, JINR, Dubna, Russia, 27-31 July, 1999). To be published in the Proceedings of this Seminar | |
| dc.identifier | https://arxiv.org/abs/math-ph/0002031 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0002031 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56503 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Group Theory | |
| dc.title | Linear Odd Poisson Bracket on Grassmann Algebra | |
| dc.type | text |