Buhl, Geoffrey
http://hdl.handle.net/10139/738
2024-03-28T15:44:33ZOrdered spanning set for quasimodules for Möbius vertex algebras
http://hdl.handle.net/10139/602
Ordered spanning set for quasimodules for Möbius vertex algebras; Ordered spanning set for quasimodules for Möbius vertex algebras
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 Poincaré–Birkhoff–Witt-like spanning sets. This paper generalizes these spanning set results to quasimodules for certain Möbius 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 ordering restriction.; 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 Poincaré–Birkhoff–Witt-like spanning sets. This paper generalizes these spanning set results to quasimodules for certain Möbius 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 ordering restriction.
2008-09-01T00:00:00ZSpanning sets for Möbius vertex algebras satisfying arbitrary difference conditions
http://hdl.handle.net/10139/601
Spanning sets for Möbius vertex algebras satisfying arbitrary difference conditions; Spanning sets for Möbius vertex algebras satisfying arbitrary difference conditions
Karaali, Gizem; Karaali, Gizem
Spanning sets for vertex operator algebras satisfying difference-zero and difference-one conditions have been extensively studied in the recent years. In this paper, we extend these results. More specifically, we show that for a suitably chosen generating set, any View the MathML source-graded Möbius vertex algebra is spanned by monomials satisfying a difference-N ordering condition.; Spanning sets for vertex operator algebras satisfying difference-zero and difference-one conditions have been extensively studied in the recent years. In this paper, we extend these results. More specifically, we show that for a suitably chosen generating set, any View the MathML source-graded Möbius vertex algebra is spanned by monomials satisfying a difference-N ordering condition.
2008-10-15T00:00:00Z