Ordered spanning sets for quasimodules for Mobius vertex algebras

2007/10/03 by Geoffrey Buhl, Buhl, Geoffrey
Mathematics · #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0710.0886

openalex publication_date 2007/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Local systems of vertex operators, vertex superalgebras and modules

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