代数$$sl_3(\mathbb{R})$$的锐传递表示

Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI:10.1134/s1055134423040077

M. V. Neshchadim, A. A. Simonov

引用次数: 0

摘要

摘要:我们考虑在原点附近定义的具有解析系数$ \mathbb {R}^{8}$的局部向量场空间中代数$sl_3(\mathbb {R}) $的局部锐传递表示。我们找到了一个描述这种表示的微分方程组。

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Sharply Transitive Representations of the Algebra $$sl_3(\mathbb{R})$$

Abstract

We consider local sharply transitive representations of the algebra $sl_3(\mathbb {R}) $ in the space of local vector fields with analytic coefficients in $ \mathbb {R}^{8}$ that are defined in a neighborhood of the origin. We find a system of differential equations that describes such representations.

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.