Generalized Grassmann Algebras and its Connection to the Extended Supersymmetric Models
| dc.creator | Isaev, A. P. | |
| dc.creator | Popowicz, Z. | |
| dc.creator | Santillan, O. | |
| dc.date | 2001-10-26 | |
| dc.date | 2002-01-08 | |
| dc.date.accessioned | 2026-07-07T04:12:34Z | |
| dc.date.available | 2026-07-07T04:12:34Z | |
| dc.description | It is shown that the fermionic Heisenberg-Weyl algebra with 2N=D fermionic generators is equivalent to the generalized Grassmann algebra with two fractional generators. The 2,3 and 4 dimensional Heisenberg - Weyl algebra is explicitly given in terms of the fractional generators. These algebras are used for the formulation of the N=2,3,4 extended supersymmetry. As an example we reformulate the Lax approach of the supersymmetric Korteweg - de Vries equation in terms of the generators of the generalized Grassmann algebra. | |
| dc.description | LaTeX, 14 pages, added references and corrected some typos. To be published in Proc. of Int. Workshop ``Supersymmetries and Quantum Symmetries'', Sept. 21-25, 2001, Karpacz, Poland | |
| dc.identifier | https://arxiv.org/abs/hep-th/0110246 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0110246 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50947 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Generalized Grassmann Algebras and its Connection to the Extended Supersymmetric Models | |
| dc.type | text |