模积与有限群的模

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2023-06-26 DOI:10.1007/s10468-023-10210-4

John F. R. Duncan, Jeffrey A. Harvey, Brandon C. Rayhaun

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引用次数: 0

摘要

受半影月光的出现以及半影月光通过无限乘积与广义畸形月光有着广泛关系的证据的启发，我们在本文中建立了一种一般构造，它使用奇异θ提升和有限群的模块层面的具体构造，在权重为二分之一的月光和权重为零的月光之间进行转换。这一构造为我们的另一篇论文奠定了基础，在这篇论文中，我们详细探讨了半影汤普森月影与广义畸形月影特例之间的联系。

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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Modular Products and Modules for Finite Groups

Motivated by the appearance of penumbral moonshine, and by evidence that penumbral moonshine enjoys an extensive relationship to generalized monstrous moonshine via infinite products, we establish a general construction in this work which uses singular theta lifts and a concrete construction at the level of modules for a finite group to translate between moonshine in weight one-half and moonshine in weight zero. This construction serves as a foundation for a companion paper in which we explore the connection between penumbral Thompson moonshine and a special case of generalized monstrous moonshine in detail.

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.