Vector form brackets in Lie algebroids
Archivum mathematicum, Tome 32 (1996) no. 4, pp. 317-323
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.
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.
Classification :
17B66, 17B70, 17B99, 58A10, 58H99
Keywords: vector valued form; Lie algebroid
Keywords: vector valued form; Lie algebroid
@article{ARM_1996_32_4_a6,
author = {Nijenhuis, Albert},
title = {Vector form brackets in {Lie} algebroids},
journal = {Archivum mathematicum},
pages = {317--323},
year = {1996},
volume = {32},
number = {4},
mrnumber = {1441402},
zbl = {0881.17020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a6/}
}
Nijenhuis, Albert. Vector form brackets in Lie algebroids. Archivum mathematicum, Tome 32 (1996) no. 4, pp. 317-323. http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a6/
[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
[2] Kosmann-Schwarzbach, Y., Magri, F.: Poisson-Nijenhuis structures. l Ann. Inst. Henri Poincaré 53, 35-81 (1990). | MR
[3] Mackenzie, K., Ping Xu: Lie bialgebroids and Poisson groupoids. Duke Math. J. 73, 415-452 (1994). | MR
[4] Nijenhuis, A., Richardson, R.W.: Deformations of Lie algebra structures. J. Math. Mech. 17, 89-105 (1967). | MR