Abstract

In this paper, we continue previous studies on quasimodules at infinity for (weak) quantum vertex algebras, focusing on equivariant quasimodules at infinity for vertex Γ-algebras. Among the main results, we obtain a commutator formula and certain general conceptual results. As an application, we establish a category equivalence between the category of lowest weight modules for a certain family of Lie algebras and the category of equivariant quasimodules at infinity for a certain family of vertex Γ-algebras.In this paper, we continue previous studies on quasimodules at infinity for (weak) quantum vertex algebras, focusing on equivariant quasimodules at infinity for vertex Γ-algebras. Among the main results, we obtain a commutator formula and certain general conceptual results. As an application, we establish a category equivalence between the category of lowest weight modules for a certain family of Lie algebras and the category of equivariant quasimodules at infinity for a certain family of vertex Γ-algebras.

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