# Vector form brackets in Lie algebroids

Archivum Mathematicum (1996)

- Volume: 032, Issue: 4, page 317-323
- ISSN: 0044-8753

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topNijenhuis, Albert. "Vector form brackets in Lie algebroids." Archivum Mathematicum 032.4 (1996): 317-323. <http://eudml.org/doc/18473>.

@article{Nijenhuis1996,

abstract = {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.},

author = {Nijenhuis, Albert},

journal = {Archivum Mathematicum},

keywords = {vector valued form; Lie algebroid; vector valued form; Lie algebroid},

language = {eng},

number = {4},

pages = {317-323},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Vector form brackets in Lie algebroids},

url = {http://eudml.org/doc/18473},

volume = {032},

year = {1996},

}

TY - JOUR

AU - Nijenhuis, Albert

TI - Vector form brackets in Lie algebroids

JO - Archivum Mathematicum

PY - 1996

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 032

IS - 4

SP - 317

EP - 323

AB - 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.

LA - eng

KW - vector valued form; Lie algebroid; vector valued form; Lie algebroid

UR - http://eudml.org/doc/18473

ER -

## References

top- Theory of vector-valued differential forms, Part I., Kon. Nederl. Akad. Wetensch. Proc. A 59 (= Indag. Math. 18), 338-359 (1956). MR0082554
- Poisson-Nijenhuis structures, l Ann. Inst. Henri Poincaré 53, 35-81 (1990). MR1077465
- Lie bialgebroids and Poisson groupoids, Duke Math. J. 73, 415-452 (1994). MR1262213
- Deformations of Lie algebra structures, J. Math. Mech. 17, 89-105 (1967). MR0214636

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