Twisted Modules over Lattice Vertex Algebras

dc.creatorBakalov, Bojko
dc.creatorKac, Victor G.
dc.date2004-02-19
dc.date2004-03-31
dc.date.accessioned2026-07-07T05:05:35Z
dc.date.available2026-07-07T05:05:35Z
dc.descriptionFor any integral lattice $Q$, one can construct a vertex algebra $V_Q$ called a lattice vertex algebra. If $σ$ is an automorphism of $Q$ of finite order, it can be lifted to an automorphism of $V_Q$. In this paper we classify the irreducible $σ$-twisted $V_Q$-modules. We show that the category of $σ$-twisted $V_Q$-modules is a semisimple abelian category with finitely many isomorphism classes of simple objects.
dc.descriptionDedicated to Professor Ivan Todorov on the occasion of his 70th birthday. 18 pages (references added)
dc.identifierhttps://arxiv.org/abs/math/0402315
dc.identifierhttp://arxiv.org/abs/math/0402315
dc.identifierin Proc. V Internat. Workshop "Lie Theory and Its Applications in Physics" (Varna, June 2003), eds. H.-D. Doebner and V. K. Dobrev, World Scientific, Singapore, 2004.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70220
dc.subjectQuantum Algebra
dc.titleTwisted Modules over Lattice Vertex Algebras
dc.typetext

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