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Gavriliov A. V.(2006)Algebraic properties of the covariant differentiation and composition of exponential mappings Mat. Tr. 9 3-20
Special polynomials in free framed Lie algebra
被引：0
作者：
A. V. Gavriliov
机构：
[1] Russian Academy of Sciences,Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
来源：
Algebra and Logic
|
2008年
/
47卷
关键词：
nonassociative algebra;
Lie algebra;
affine connection;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：321 / 329
页数：8
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