| Title:
|
Vector form brackets in Lie algebroids (English) |
| Author:
|
Nijenhuis, Albert |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
317-323 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A brief exposition of Lie algebroids, followed by a discussion of vector forms and their brackets in this context - and a formula for these brackets in “deformed” Lie algebroids. (English) |
| Keyword:
|
vector valued form |
| Keyword:
|
Lie algebroid |
| MSC:
|
17B66 |
| MSC:
|
17B70 |
| MSC:
|
17B99 |
| MSC:
|
58A10 |
| MSC:
|
58H99 |
| idZBL:
|
Zbl 0881.17020 |
| idMR:
|
MR1441402 |
| . |
| Date available:
|
2008-06-06T21:31:41Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107584 |
| . |
| Reference:
|
[1] Frölicher, A., Nijenhuis, A.: Theory of vector-valued differential forms, Part I..Kon. Nederl. Akad. Wetensch. Proc. A 59 (= Indag. Math. 18), 338-359 (1956). MR 0082554 |
| Reference:
|
[2] Kosmann-Schwarzbach, Y., Magri, F.: Poisson-Nijenhuis structures.l Ann. Inst. Henri Poincaré 53, 35-81 (1990). MR 1077465 |
| Reference:
|
[3] Mackenzie, K., Ping Xu: Lie bialgebroids and Poisson groupoids.Duke Math. J. 73, 415-452 (1994). MR 1262213 |
| Reference:
|
[4] Nijenhuis, A., Richardson, R.W.: Deformations of Lie algebra structures.J. Math. Mech. 17, 89-105 (1967). MR 0214636 |
| . |
