Special polynomials in free framed Lie algebra |
| |
Authors: | A V Gavriliov |
| |
Institution: | (1) Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia |
| |
Abstract: | 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.
Translated from Algebra i Logika, Vol. 47, No. 5, pp. 571–583, September–October, 2008. |
| |
Keywords: | nonassociative algebra Lie algebra affine connection |
本文献已被 SpringerLink 等数据库收录! |
|