Vector form brackets in Lie algebroids

Albert Nijenhuis

Archivum Mathematicum (1996)

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

Abstract

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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.

How to cite

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Nijenhuis, 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

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

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