交感列共形上代数的结构

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-03-12 DOI:10.1016/j.difgeo.2024.102122

Meher Abdaoui

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引用次数: 0

摘要

在本文中，我们将介绍交感李共形上代数的概念，并证明李共形上代数的一些经典性质对交感李共形上代数仍然有效。我们证明了每个交感李共形上代数的唯一分解为不可分解交感理想的直接和。我们还证明了每个完备的 Lie 保角上代数中都存在一个最大交感理想和一个交感分解。最后，我们还研究了一个 Lie 保角上代数 R 的理想 I，使得 R/I 是一个交感 Lie 保角上代数。

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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Structures of sympathetic Lie conformal superalgebras

In this paper, we'll introduce the concept of sympathetic Lie conformal superalgebras and show that some classical properties of Lie conformal superalgebras are still valid for sympathetic Lie conformal superalgebras. We prove that the unique decomposition of each sympathetic Lie conformal superalgebra into a direct sum of indecomposable sympathetic ideals. We also show the existence of a greatest sympathetic ideal and a sympathetic decomposition in every perfect Lie conformal superalgebra. In the end, we also study the ideal $I$ of a Lie conformal superalgebra $R$ such that $R / I$ is a sympathetic Lie conformal superalgebra.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.