Deformations of Lie brackets: cohomological aspects
Journal of the European Mathematical Society (2008)
- Volume: 010, Issue: 4, page 1037-1059
- ISSN: 1435-9855
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topCrainic, Marius, and Moerdijk, Ieke. "Deformations of Lie brackets: cohomological aspects." Journal of the European Mathematical Society 010.4 (2008): 1037-1059. <http://eudml.org/doc/277771>.
@article{Crainic2008,
abstract = {We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.},
author = {Crainic, Marius, Moerdijk, Ieke},
journal = {Journal of the European Mathematical Society},
keywords = {Lie algebroids; deformations; cohomology; Poisson geometry; Lie algebroids; deformations; cohomology; multiderivation; Poisson structure; foliation},
language = {eng},
number = {4},
pages = {1037-1059},
publisher = {European Mathematical Society Publishing House},
title = {Deformations of Lie brackets: cohomological aspects},
url = {http://eudml.org/doc/277771},
volume = {010},
year = {2008},
}
TY - JOUR
AU - Crainic, Marius
AU - Moerdijk, Ieke
TI - Deformations of Lie brackets: cohomological aspects
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 4
SP - 1037
EP - 1059
AB - We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which “controls” deformations of the structure bracket of the algebroid.
LA - eng
KW - Lie algebroids; deformations; cohomology; Poisson geometry; Lie algebroids; deformations; cohomology; multiderivation; Poisson structure; foliation
UR - http://eudml.org/doc/277771
ER -
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