TY  - JOUR
AU  - de Azcarraga, J. A.
AU  - Izquierdo, J. M.
AU  - Picon, M.
PY  - 2011
DA  - 2011//
TI  - Contractions of Filippov algebras
T2  - J. Math. Phys.
JO  - Journal of Mathematical Physics
SP  - 013516
EP  - 24pp
VL  - 52
IS  - 1
PB  - Amer Inst Physics
AB  - 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.
SN  - 0022-2488
UR  - http://arxiv.org/abs/arXiv:1009.0372
UR  - https://doi.org/10.1063/1.3533944
DO  - 10.1063/1.3533944
LA  - English
N1  - ISI:000286898400034
ID  - deAzcarraga_etal2011
ER  -