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

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dc.creatorLi, Haisheng
dc.date2006-05-05
dc.date.accessioned2026-07-07T07:13:57Z
dc.date.available2026-07-07T07:13:57Z
dc.descriptionWe 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.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0605155
dc.identifierhttp://arxiv.org/abs/math/0605155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112679
dc.subjectQuantum Algebra
dc.subject17B69, 17B67
dc.titleOn certain generalizations of twisted affine Lie algebras and quasimodules for $Γ$-vertex algebras
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