Theta-functions on noncommutative tori

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dc.creatorSchwarz, Albert
dc.date2001-07-25
dc.date.accessioned2026-07-07T04:42:44Z
dc.date.available2026-07-07T04:42:44Z
dc.descriptionOrdinary theta-functions can be considered as holomorphic sections of line bundles over tori. We show that one can define generalized theta-functions as holomorphic elements of projective modules over noncommutative tori (theta-vectors). The theory of these new objects is not only more general, but also much simpler than the theory of ordinary theta-functions. It seems that the theory of theta-vectors should be closely related to Manin's theory of quantized theta-functions, but we don't analyze this relation.
dc.identifierhttps://arxiv.org/abs/math/0107186
dc.identifierhttp://arxiv.org/abs/math/0107186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61907
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleTheta-functions on noncommutative tori
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