English

Ordered spanning sets for quasimodules for Mobius vertex algebras

Quantum Algebra 2008-03-26 v2

Abstract

Quasimodules for vertex algebras are generalizations of modules for vertex algebras. These new objects arise from a generalization of locality for fields. Quasimodules tie together module theory and twisted module theory, and both twisted and untwisted modules feature Poincare-Birkhoff-Witt-like spanning sets. This paper generalizes these spanning set results to quasimodules for certain Mobius vertex algebras. In particular this paper presents two spanning sets, one featuring a difference-zero ordering restriction on modes and another featuring a difference-one condition.

Keywords

Cite

@article{arxiv.0710.0886,
  title  = {Ordered spanning sets for quasimodules for Mobius vertex algebras},
  author = {Geoffrey Buhl},
  journal= {arXiv preprint arXiv:0710.0886},
  year   = {2008}
}
R2 v1 2026-06-21T09:26:22.644Z