Ising vectors and automorphism groups of commutant subalgebras related to root systems

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dc.creatorLam, Ching Hung
dc.creatorSakuma, Shinya
dc.creatorYamauchi, Hiroshi
dc.date2005-07-18
dc.date.accessioned2026-07-07T05:21:49Z
dc.date.available2026-07-07T05:21:49Z
dc.descriptionIn this article we study and obtain a classification of Ising vectors in vertex operator algebras associated to binary codes and $\sqrt{2}$ times root lattices, where an Ising vector is a conformal vector with central charge 1/2 generating a simple Virasoro sub VOA. Then we apply our results to study certain commutant subalgebras related to root systems. We completely classify all Ising vectors in such commutant subalgebras and determine their full automorphism groups.
dc.description33 pages
dc.identifierhttps://arxiv.org/abs/math/0507371
dc.identifierhttp://arxiv.org/abs/math/0507371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75828
dc.subjectQuantum Algebra
dc.subject17B69
dc.titleIsing vectors and automorphism groups of commutant subalgebras related to root systems
dc.typetext

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