作用于双线性微分算子上的向量场李代数的上同调

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2019-09-01 DOI:10.1556/012.2019.56.3.1433

A. Meher

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引用次数: 0

摘要

设Vect(1)是光滑向量场在1上的李代数。在本文中，我们将-不变线性微分算子从Vect(1)分类到消失于上，其中是作用于加权密度的双线性微分算子的空间。这个结果允许我们计算系数为的Vect (l)的第一个微分相对上同调。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cohomology of the vector fields lie algebras on ℝℙ1 acting on bilinear differential operators

Let Vect (ℝℙ1) be the Lie algebra of smooth vector fields on ℝℙ1. In this paper, we classify -invariant linear differential operators from Vect (ℝℙ1) to vanishing on , where is the space of bilinear differential operators acting on weighted densities. This result allows us to compute the first differential -relative cohomology of Vect (ℝℙ1) with coefficients in .

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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.