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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:
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


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