Toroidal extended affine Lie algebras and vertex algebras

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-23 DOI:10.1142/s0219199724500032

Fulin Chen, Haisheng Li, Shaobin Tan

引用次数: 0

Abstract

In this paper, we study nullity- $2$ toroidal extended affine Lie algebras in the context of vertex algebras and their $ϕ$ -coordinated modules. Among the main results, we introduce a variant of toroidal extended affine Lie algebras, associate vertex algebras to the variant Lie algebras, and establish a canonical connection between modules for toroidal extended affine Lie algebras and $ϕ$ -coordinated modules for these vertex algebras. Furthermore, by employing some results of Billig, we obtain an explicit realization of a class of irreducible modules for the variant Lie algebras.

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环状扩展仿射李代数和顶点代数

在本文中，我们在顶点代数及其ϕ协调模块的背景下研究了空性-2环形扩展仿射李代数。在主要结果中，我们引入了环状扩展仿射李代数的一个变体，将顶点代数与变体李代数联系起来，并在环状扩展仿射李代数的模块与这些顶点代数的 ϕ 配位模块之间建立了典范联系。此外，通过运用比立格的一些结果，我们得到了变体李代数的一类不可还原模块的明确实现。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.