Natural graded Lie brackets on the space of cochains of n-Leibniz and n-Lie algebras are introduced. It turns out that these brackets agree under the natural embedding introduced by Gautheron. Moreover, n-Leibniz and n-Lie algebras turn to be canonical structures for these brackets in a similar way in which associative algebras (respectively, Lie algebras) are canonical structures for the Gerstenhaber bracket (respectively, Nijenhuis-Richardson bracket).
@article{urn:eudml:doc:40888,
title = {Cohomology ring of n-Lie algebras.},
journal = {Extracta Mathematicae},
volume = {20},
year = {2005},
pages = {219-232},
zbl = {1163.17300},
mrnumber = {MR2195202},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40888}
}
Rotkiewicz, Mikolaj. Cohomology ring of n-Lie algebras.. Extracta Mathematicae, Tome 20 (2005) pp. 219-232. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40888/