完备李共形代数的结构

IF 0.9 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-07-15 DOI:10.1007/s10114-025-3220-8

Tianqi Feng, Jun Zhao, Liangyun Chen, Chenrui Yao

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引用次数: 0

摘要

本文讨论了完备李共形代数和完备李共形代数。给出了完全李共形代数的刻画。证明了每一个完全完备李共形代数都可以唯一地分解为不可分解的完全完备理想的直接和。并且我们证明了在每一个完全李共形代数中交感分解的存在性。最后，我们研究了一类理想的李共形代数，使得商是完全完备的李共形代数。

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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Structure of Perfect and Complete Lie Conformal Algebras

Perfect and complete Lie conformal algebras will be discussed in this paper. We give the characterizations of complete Lie conformal algebras. We demonstrate that every perfectly complete Lie conformal algebra can be uniquely decomposed to a direct sum of indecomposable perfectly complete ideals. And we show the existence of a sympathetic decomposition in every perfect Lie conformal algebra. Finally, we study a class of ideals of Lie conformal algebras such that the quotients are perfectly complete Lie conformal algebras.

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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.