Cohomology ring of n-Lie algebras.

Mikolaj Rotkiewicz

Extracta Mathematicae (2005)

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

Abstract

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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).

How to cite

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Rotkiewicz, 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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