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- Title
Modular Products and Modules for Finite Groups.
- Authors
Duncan, John F. R.; Harvey, Jeffrey A.; Rayhaun, Brandon C.
- Abstract
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.
- Publication
Algebras & Representation Theory, 2024, Vol 27, Issue 1, p115
- ISSN
1386-923X
- Publication type
Article
- DOI
10.1007/s10468-023-10210-4