N-commutators on vector fields
| dc.creator | Dzhumadil'daev, A. S. | |
| dc.date | 2002-03-05 | |
| dc.date | 2002-03-18 | |
| dc.date.accessioned | 2026-07-07T04:46:50Z | |
| dc.date.available | 2026-07-07T04:46:50Z | |
| dc.description | An alternating sum of compositions of N vector fields is called N-commutator. In general N-commutator of N vector fields is no longer a vector field. Question: is it possible to find N=N(n), such that N-commutator of any vector fields in $Vect(n)$ is once again a vector field. Theorem: $n^2+2n-2$-commutator is a such one. A theory of N-commutators with emphasis on 5-and 6-commutators on two dimensional manifold is developed. | |
| dc.description | 44 pages | |
| dc.identifier | https://arxiv.org/abs/math/0203036 | |
| dc.identifier | http://arxiv.org/abs/math/0203036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63489 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B66, 17C50, 22E65 | |
| dc.title | N-commutators on vector fields | |
| dc.type | text |