Geodesic
Special polynomials in free framed Lie algebra
Algebra i logika, Tome 47 (2008) no. 5, pp. 571-583

Voir la notice de l'article provenant de la source Math-Net.Ru

A framed Lie algebra is an algebra with two operations which is a Lie algebra with respect to one of these operations. A basic example is a Lie algebra of vector fields on a manifold with connection where the covariant derivative serves as an additional operation. In a free framed Lie algebra, we distinguish a set of special polynomials that geometrically correspond to invariantly defined tensors. A necessary condition of being special is derived, and we presume that this condition is also sufficient.
Keywords: nonassociative algebra, Lie algebra, affine connection. 
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     author = {A. V. Gavrilov},
     title = {Special polynomials in free framed {Lie} algebra},
     journal = {Algebra i logika},
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     number = {5},
     year = {2008},
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     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_5_a3/}
}
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A. V. Gavrilov. Special polynomials in free framed Lie algebra. Algebra i logika, Tome 47 (2008) no. 5, pp. 571-583. http://geodesic.mathdoc.fr/item/AL_2008_47_5_a3/