Mathematics – Quantum Algebra
Scientific paper
2007-10-03
Mathematics
Quantum Algebra
A contribution to the Moonshine Conference at ICMS, Edinburgh, July 2004
Scientific paper
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.
No associations
LandOfFree
Ordered spanning sets for vertex operator algebras and their modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ordered spanning sets for vertex operator algebras and their modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ordered spanning sets for vertex operator algebras and their modules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-562721