Quantization on a Lie group: Higher-order Polarizations

Aldaya, V.; Guerrero, J.; Marmo, G.

Aldaya, V. ; Guerrero, J. ; Marmo, G.

arXiv, 9710002 / Harvested from arXiv

Text on arXiv

Résumé

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

Publié le : 1997-10-03
Classification: Mathematical Physics, High Energy Physics - Theory

@article{9710002,
     author = {Aldaya, V. and Guerrero, J. and Marmo, G.},
     title = {Quantization on a Lie group: Higher-order Polarizations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710002}
}

Aldaya, V.; Guerrero, J.; Marmo, G. Quantization on a Lie group: Higher-order Polarizations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710002/