顶点算子代数及其模的序生成集
Ordered spanning sets for vertex operator algebras and their modules
摘要：
月光涉及三个基本的数学对象：怪物零星单群，模函数j和月光模块顶点算子代数。考察模函数和顶点算子代数的表示论之间的关系，揭示了丰富的结构。特别地，C2-上有限性（也称为朱有限性条件）暗示了顶点算子代数及其模的有限生成集和Poincare-Birkhoff-Witt-like生成集的存在性.这些生成集具有期望的排序限制，例如，差一条件
英文摘要：
Moonshine relates three fundamental mathematical objects: the Monster sporadic simple group, the modular function j, and the moonshine module vertex operator algebra. Examining the relationship between modular functions and the representation theory of vertex operator algebras reveals rich structure. In particular, C2-cofiniteness (also called Zhu's finiteness condition) implies the existence of finite generating sets and Poincare-Birkhoff-Witt-like spanning sets for vertex operator algebras and their modules. These spanning sets feature desirable ordering restrictions, e.g., a difference-one condition.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
