@Article{deAzcarraga_etal2011,
author="de Azcarraga, J. A.
and Izquierdo, J. M.
and Picon, M.",
title="Contractions of Filippov algebras",
journal="Journal of Mathematical Physics",
year="2011",
publisher="Amer Inst Physics",
volume="52",
number="1",
pages="013516--24pp",
abstract="We introduce in this paper the contractions B-c of n-Lie (or Filippov) algebras B and show that they have a semidirect structure as their n = 2 Lie algebra counterparts. As an example, we compute the nontrivial contractions of the simple A(n+1) Filippov algebras. By using the. Inonu-Wigner and the generalized Weimar-Woods contractions of ordinary Lie algebras, we compare (in the B = A(n+1) simple case) the Lie algebras Lie B-c (the Lie algebra of inner endomorphisms of B-c) with certain contractions (Lie B)(IW) and (Lie B)(W-W) of the Lie algebra Lie B associated with B.",
optnote="ISI:000286898400034",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=574), last updated on Thu, 25 Aug 2011 12:56:37 +0000",
issn="0022-2488",
doi="10.1063/1.3533944",
opturl="http://arxiv.org/abs/arXiv:1009.0372",
opturl="https://doi.org/10.1063/1.3533944",
archivePrefix="arXiv",
eprint="arXiv:1009.0372",
language="English"
}