| Title:
|
Subalgebras of finite codimension in symplectic Lie algebra (English) |
| Author:
|
Benalili, Mohammed |
| Author:
|
Boucherif, Abdelkader |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
35 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
103-114 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Subalgebras of germs of vector fields leaving $0$ fixed in $R^{2n}$, of finite codimension in symplectic Lie algebra contain the ideal of germs infinitely flat at $0$. We give an application. (English) |
| Keyword:
|
Hamiltonian vector fields |
| Keyword:
|
Poisson bracket |
| Keyword:
|
pseudogroup action |
| MSC:
|
17B66 |
| idZBL:
|
Zbl 1064.17508 |
| idMR:
|
MR1711673 |
| . |
| Date available:
|
2008-06-06T22:22:43Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107687 |
| . |
| Reference:
|
[1] Bénalili M.: Fibrés naturels définis sur la catégorie des $\Gamma -$variétés.Circolo Mat. di Palermo, 13, (1994), 309-328. MR 1344871 |
| Reference:
|
[2] Epstein D. B. A., Thurston W. P.: Transformation groups and natural bundles.Proc. London Math. Soc. 38 (1979), 219-237. Zbl 0409.58001, MR 0531161 |
| Reference:
|
[3] Omori H.: Infinite dimensional Lie transformation groups.Lect. Notes in Math. (427), Springer Verlag. Zbl 0328.58005, MR 0431262 |
| Reference:
|
[4] Libermann P., Marle C. M.: Symplectic Geometry and Analytical Mechanics.D. Reidel Publishing Company Holland (1987). Zbl 0643.53002, MR 0882548 |
| Reference:
|
[5] Palais R. S., Terng C. L.: Natural bundles have finite order.Topology 16 (1978), 271-277. MR 0467787 |
| . |
