Contractions of Filippov algebras
Sep, 2010
25 pages
Published in:
- J.Math.Phys. 52 (2011) 013516
e-Print:
- 1009.0372 [math-ph]
DOI:
Report number:
- FTUV-10-0901,
- IFIC-10-29
View in:
Citations per year
Abstract: (arXiv)
We introduce in this paper the contractions of -Lie (or Filippov) algebras and show that they have a semidirect structure as their Lie algebra counterparts. As an example, we compute the non-trivial contractions of the simple Filippov algebras. By using the \.In\'on\'u-Wigner and the generalized Weimar-Woods contractions of ordinary Lie algebras, we compare (in the simple case) the Lie algebras Lie (the Lie algebra of inner endomorphisms of ) with certain contractions and of the Lie algebra Lie associated with .Note:
- plain latex, 36 pages. A few misprints corrected. This v3 is actually v2 (v1 had been replaced by itself by error). To appear in J. Math. Phys
- 02.20.Sv
- Lie algebras
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