# Cohomology ring of n-Lie algebras.

Extracta Mathematicae (2005)

- Volume: 20, Issue: 3, page 219-232
- ISSN: 0213-8743

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topRotkiewicz, Mikolaj. "Cohomology ring of n-Lie algebras.." Extracta Mathematicae 20.3 (2005): 219-232. <http://eudml.org/doc/40888>.

@article{Rotkiewicz2005,

abstract = {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).},

author = {Rotkiewicz, Mikolaj},

journal = {Extracta Mathematicae},

keywords = {Anillos de cohomología; Algebras asociativas; Algebra de Lie},

language = {eng},

number = {3},

pages = {219-232},

title = {Cohomology ring of n-Lie algebras.},

url = {http://eudml.org/doc/40888},

volume = {20},

year = {2005},

}

TY - JOUR

AU - Rotkiewicz, Mikolaj

TI - Cohomology ring of n-Lie algebras.

JO - Extracta Mathematicae

PY - 2005

VL - 20

IS - 3

SP - 219

EP - 232

AB - 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).

LA - eng

KW - Anillos de cohomología; Algebras asociativas; Algebra de Lie

UR - http://eudml.org/doc/40888

ER -

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