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On certain generalizations of twisted affine Lie algebras and quasimodules for $Γ$-vertex algebras

Haisheng Li
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Abstract

We continue a previous study on $Γ$-vertex algebras and their quasimodules. In this paper we refine certain known results and we prove that for any $\Z$-graded vertex algebra $V$ and a positive integer $N$, the category of $V$-modules is naturally isomorphic to the category of quasimodules of a certain type for $V^{\otimes N}$. We also study certain generalizations of twisted affine Lie algebras and we relate such Lie algebras to vertex algebras and their quasimodules, in a way similar to that twisted affine Lie algebras are related to vertex algebras and their twisted modules.

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Haisheng Li. 2006-05-05. On certain generalizations of twisted affine Lie algebras and quasimodules for $Γ$-vertex algebras. https://arxiv.org/abs/math/0605155

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