Strange Phenomena Related to Ordering Problems in Quantizations
Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 481-510
We introduce an object which in a sense extends the notion of a covering space. Such an object is required to understand the "group" generated by the exponential functions of quadratic forms in the Weyl algebra, and gives in some sense a complexification of the metaplectic group.
DOI: 10.5802/jolt.316
Classification: 53D50, 17B37, 81R50, 81S05
Keywords: quantization, ordering problem, Weyl algebras
@article{JOLT_2003_13_2_a10,
     author = {H. Omori and Y. Maeda and N. Miyazaki and A. Yoshioka},
     title = {Strange {Phenomena} {Related} to {Ordering} {Problems} in {Quantizations}},
     journal = {Journal of Lie Theory},
     pages = {481--510},
     year = {2003},
     volume = {13},
     number = {2},
     doi = {10.5802/jolt.316},
     zbl = {1046.53057},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.316/}
}
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H. Omori; Y. Maeda; N. Miyazaki; A. Yoshioka. Strange Phenomena Related to Ordering Problems in Quantizations. Journal of Lie Theory, Volume 13 (2003) no. 2, pp. 481-510. doi: 10.5802/jolt.316

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