论文标题
有限组的模块化产品和模块
Modular Products and Modules for Finite Groups
论文作者
论文摘要
通过出现半月的出现，通过证据表明，半月闪与通用的可怕的月光通过Infinite产品享有广泛的关系，我们在这项工作中建立了一般的结构，该工作使用theta升降机和在Moonshine inflowshine in trymoshine in the theTaimhine the Moonshine和Moonshine中的模块水平上使用奇异的theta升降机和混凝土结构。该建筑是同伴论文的基础，在该论文中，我们探讨了Penumbral Thompson Moonshine与详细概述的巨大月光的特殊案例之间的联系。
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.
