Quantization on a Lie group: Higher-order Polarizations

dc.creatorAldaya, V.
dc.creatorGuerrero, J.
dc.creatorMarmo, G.
dc.date1997-10-03
dc.date.accessioned2026-07-07T10:15:52Z
dc.date.available2026-07-07T10:15:52Z
dc.descriptionContents * Introduction -- Why $S^1$-extended phase space? -- Why central extensions of classical symmetries? * Central extension \Gt of a group $G$ -- Group cohomology -- Cohomology and contractions: Pseudo-cohomology -- Principal bundle with connection $(\Gtm,Θ)$ * Group Approach to Quantization -- $U(1)$-quantization -- Non-horizontal polarizations * Simple examples -- The abelian group $R^{k}$ -- The semisimple group $SU(2)$ * Algebraic anomalies -- Higher-order polarizations -- The Schrödinger group and Quantum Optics -- The Virasoro group and String Theory
dc.description52 pages, latex, no figures. Contribution to "Symmetries in Science X", held in Bregenz (Austria), 13-18 July 1997. To appear in the proceedings
dc.identifierhttps://arxiv.org/abs/physics/9710002
dc.identifierhttp://arxiv.org/abs/physics/9710002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173319
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleQuantization on a Lie group: Higher-order Polarizations
dc.typetext

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