id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1179	Azcárraga, J. A. de; Izquierdo, J. M.	Topics on n-ary Algebraic Structures	2010	7	.pdf	application/pdf	4411	413	85	1 Introduction The Jacobi identity (JI) for Lie algebras g, [X, [Y, Z]]+ [Y, [Z, X ]] + These two identities show that the inner derivations adX associated with the fundamental ob- jects X generate (the ad map is not necessarily injec- tive) an ordinary Lie algebra, the Lie algebra associ- ated with the FA G. An important type of FAs, because of its rele- vance in physical applications where a scalar product is usually needed (as in the Bagger-Lambert-Gustavsson model in M-theory), is the class of metric Filippov al- gebras.	cache/ap-1179.pdf	txt/ap-1179.txt