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Article

Nijenhuis, Albert
Vector form brackets in Lie algebroids. (English). Archivum Mathematicum, vol. 32 (1996), issue 4, pp. 317-323
MSC: 17B66, 17B70, 17B99, 58A10, 58H99 | MR 1441402 | Zbl 0881.17020
Keywords:
vector valued form; Lie algebroid
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.
References:
[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
[2] Kosmann-Schwarzbach, Y., Magri, F.: Poisson-Nijenhuis structures. l Ann. Inst. Henri Poincaré 53, 35-81 (1990). MR 1077465
[3] Mackenzie, K., Ping Xu: Lie bialgebroids and Poisson groupoids. Duke Math. J. 73, 415-452 (1994). MR 1262213
[4] Nijenhuis, A., Richardson, R.W.: Deformations of Lie algebra structures. J. Math. Mech. 17, 89-105 (1967). MR 0214636
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