Compact automorphism groups of vertex operator algebras

dc.creatorDong, Chongying
dc.creatorLi, Haisheng
dc.creatorMason, Geoffrey
dc.date1996-08-13
dc.date1996-08-14
dc.date.accessioned2026-07-07T09:08:41Z
dc.date.available2026-07-07T09:08:41Z
dc.descriptionLet $V$ be a simple vertex operator algebra which admits the continuous, faithful action of a compact Lie group $G$ of automorphisms. We establish a Schur-Weyl type duality between the unitary, irreducible modules for $G$ and the irreducible modules for $V^G$ which are contained in $V$ where $V^G$ is the space of $G$-invariants of $V.$ We also prove a concomitant Galois correspondence between vertex operator subalgebras of $V$ which contain $V^G$ and closed Lie subgroups of $G$ in the case that $G$ is abelian.
dc.descriptionlatex 9 pages, correct several typos
dc.identifierhttps://arxiv.org/abs/q-alg/9608009
dc.identifierhttp://arxiv.org/abs/q-alg/9608009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150808
dc.subjectQuantum Algebra
dc.titleCompact automorphism groups of vertex operator algebras
dc.typetext

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