Twisted modules for vertex operator algebras and Bernoulli polynomials

dc.creatorDoyon, Benjamin
dc.creatorLepowsky, James
dc.creatorMilas, Antun
dc.date2003-03-16
dc.date2003-06-20
dc.date.accessioned2026-07-07T04:56:05Z
dc.date.available2026-07-07T04:56:05Z
dc.descriptionUsing general principles of the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an arbitrary twisting automorphism. The construction involves the Bernoulli polynomials in a fundamental way. This is explained through results in the general theory of vertex operator algebras, including a new identity, which we call ``modified weak associativity.'' This paper is an announcement. The detailed proofs will appear elsewhere.
dc.description15 pages, LaTeX, Revised version (to appear in I.M.R.N.)
dc.identifierhttps://arxiv.org/abs/math/0303193
dc.identifierhttp://arxiv.org/abs/math/0303193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66800
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectNumber Theory
dc.subjectRepresentation Theory
dc.titleTwisted modules for vertex operator algebras and Bernoulli polynomials
dc.typetext

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