Vector form brackets in Lie algebroids
Nijenhuis, Albert
Archivum Mathematicum, Tome 032 (1996), p. 317-323 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1996-01-01
Classification:  17B66,  17B70,  17B99,  58A10,  58H99 
@article{107584,
     author = {Albert Nijenhuis},
     title = {Vector form brackets in Lie algebroids},
     journal = {Archivum Mathematicum},
     volume = {032},
     year = {1996},
     pages = {317-323},
     zbl = {0881.17020},
     mrnumber = {1441402},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107584}
}

Nijenhuis, Albert. Vector form brackets in Lie algebroids. Archivum Mathematicum, Tome 032 (1996) pp. 317-323. http://gdmltest.u-ga.fr/item/107584/

Theory of vector-valued differential forms, Part I., Kon. Nederl. Akad. Wetensch. Proc. A 59 (= Indag. Math. 18), 338-359 (1956). | MR 0082554

Poisson-Nijenhuis structures, l Ann. Inst. Henri Poincaré 53, 35-81 (1990). | MR 1077465

Lie bialgebroids and Poisson groupoids, Duke Math. J. 73, 415-452 (1994). | MR 1262213

Deformations of Lie algebra structures, J. Math. Mech. 17, 89-105 (1967). | MR 0214636