Infinite dimensional geometry of $M_1=Diff_+(S^1)/PSL(2,R)$ and $q_R$-conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra

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dc.creatorJuriev, Denis V.
dc.date1998-07-25
dc.date.accessioned2026-07-07T05:25:30Z
dc.date.available2026-07-07T05:25:30Z
dc.descriptionSome natural hidden symmetries in the Verma modules over the Virasoro algebra are constructed in terms of geometric quantization. Their differential geometric meaning is established and their expression via $q_R$-conformal symmetries in the Verma modules over the Lie algebra $sl(2,C)$ is found. The analysis and the unraveling of the algebraic structure of these families of hidden symmetries are performed.
dc.description15 pp, AMSTEX: 1st part - math.RT/9806140
dc.identifierhttps://arxiv.org/abs/math/9807142
dc.identifierhttp://arxiv.org/abs/math/9807142
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77205
dc.subjectRepresentation Theory
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleInfinite dimensional geometry of $M_1=Diff_+(S^1)/PSL(2,R)$ and $q_R$-conformal symmetries. II. Geometric quantization and hidden symmetries of Verma modules over Virasoro algebra
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