Ordered spanning sets for vertex operator algebras and their modules - Mathematics > Quantum AlgebraReportar como inadecuado




Ordered spanning sets for vertex operator algebras and their modules - Mathematics > Quantum Algebra - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Moonshine relates three fundamental mathematical objects: the Monstersporadic simple group, the modular function j, and the moonshine module vertexoperator algebra. Examining the relationship between modular functions and therepresentation theory of vertex operator algebras reveals rich structure. Inparticular, C2-cofiniteness also called Zhu-s finiteness condition impliesthe existence of finite generating sets and Poincare-Birkhoff-Witt-likespanning sets for vertex operator algebras and their modules. These spanningsets feature desirable ordering restrictions, e.g., a difference-one condition.



Autor: Geoffrey Buhl

Fuente: https://arxiv.org/







Documentos relacionados