Mobius顶点代数拟模的序生成集
Ordered spanning sets for quasimodules for Mobius vertex algebras
摘要:
顶点代数的拟模是顶点代数模的推广。这些新的对象产生于域的局部性的一般化。拟模将模理论和扭模理论联系在一起,而扭模和非扭模都具有Poincare-Birkhoff-Witt类生成集。本文将这些结果推广到某些Mobius顶点代数的拟模上。特别是,本文提出了两个生成集,一个具有差异零序限制模式和另一个具有差异一个条件。
英文摘要:
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.
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