环状扩展仿射李代数和顶点代数

IF 1.2 2区数学 Q1 MATHEMATICS

Communications in Contemporary Mathematics Pub Date : 2024-02-23 DOI:10.1142/s0219199724500032

Fulin Chen, Haisheng Li, Shaobin Tan

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引用次数: 0

摘要

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。

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Toroidal extended affine Lie algebras and vertex algebras

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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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.