Contractions of Filippov algebras - Mathematical PhysicsReportar como inadecuado




Contractions of Filippov algebras - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We introduce in this paper the contractions $\mathfrak{G} c$ of $n$-Lie orFilippov algebras $\mathfrak{G}$ and show that they have a semidirectstructure as their $n=2$ Lie algebra counterparts. As an example, we computethe non-trivial contractions of the simple $A {n+1}$ Filippov algebras. Byusing the \.In\-on\-u-Wigner and the generalized Weimar-Woods contractions ofordinary Lie algebras, we compare in the $\mathfrak{G}=A {n+1}$ simple casethe Lie algebras Lie$\,\mathfrak{G} c$ the Lie algebra of inner endomorphismsof $\mathfrak{G} c$ with certain contractions$\mathrm{Lie}\,\mathfrak{G} {IW}$ and $\mathrm{Lie}\,\mathfrak{G} {W-W}$ ofthe Lie algebra Lie$\,\mathfrak{G}$ associated with $\mathfrak{G}$.



Autor: J.A. de Azcarraga, J.M. Izquierdo, M. Picon

Fuente: https://arxiv.org/







Documentos relacionados