On certain generalizations of twisted affine Lie algebras and quasimodules for \(\Gamma\) -vertex algebras (Q872193)

The notion of a quasimodule is a natural generalization of the notion of vertex algebra modules. The author of the paper continues the study of quasimodules on \(\Gamma\)-vertex algebras. For any \(\mathbb Z\)-graded vertex algebra \(V\) and a positive integer \(N\), the relations between the category of \(V\)-modules and the category of quasimodules of a certain type for \(V^{\otimes N}\) are exactly described. Also, certain generalizations of twisted affine Lie algebras and their relations to vertex algebras and their quasimodules are studied.