Special polynomials in free framed Lie algebra

被引：0

作者：

Gavriliov, A. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2008年 / 47卷 / 05期

关键词：

nonassociative algebra; Lie algebra; affine connection;

D O I：

10.1007/s10469-008-9027-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：321 / 329

页数：9