dorsal/arxiv
View SchemaQuantization on a Lie group: Higher-order Polarizations
| Authors | V. Aldaya, J. Guerrero, G. Marmo |
|---|---|
| Categories | |
| ArXiv ID | physics/9710002 |
| URL | https://arxiv.org/abs/physics/9710002 |
Abstract
Contents * 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 $(\Gtm,\Theta)$ * 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 Schr\"odinger group and Quantum Optics -- The Virasoro group and String Theory
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"abstract": "Contents\n * Introduction\n -- Why $S^1$-extended phase space?\n -- Why central extensions of classical symmetries?\n * Central extension \\Gt of a group $G$\n -- Group cohomology\n -- Cohomology and contractions: Pseudo-cohomology\n -- Principal bundle with connection $(\\Gtm,\\Theta)$\n * Group Approach to Quantization\n -- $U(1)$-quantization\n -- Non-horizontal polarizations\n * Simple examples\n -- The abelian group $R^{k}$\n -- The semisimple group $SU(2)$\n * Algebraic anomalies\n -- Higher-order polarizations\n -- The Schr\\\"odinger group and Quantum Optics\n -- The Virasoro group and String Theory",
"arxiv_id": "physics/9710002",
"authors": [
"V. Aldaya",
"J. Guerrero",
"G. Marmo"
],
"categories": [
"math-ph",
"hep-th",
"math.MP"
],
"title": "Quantization on a Lie group: Higher-order Polarizations",
"url": "https://arxiv.org/abs/physics/9710002"
},
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