Transvection and differential invariants of parametrized curves

被引：0

作者：

Beffa, G. Mari ^{[1
]}

Sanders, Jan A. ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Vrije Univ Amsterdam, Dept Math, NL-1081 HV Amsterdam, Netherlands

来源：

JOURNAL OF LIE THEORY | 2008年 / 18卷 / 01期

关键词：

transvectant; differential invariants; curves; affine manifold; symmetric manifold;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an sl(2) representation in the space of differential invariants of parametrized curves in homogeneous spaces. The representation is described by three operators, one of them being the total derivative D. We use this representation to find a basis for the space of differential invariants of curves in a complement of the image of D, and so generated by transvection. These are natural representatives of first cohomology classes in the invariant bicomplex. We describe algorithms to find these basis and study most well-known geometries.

引用

页码：93 / 123

页数：31

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