Geodesic
Strange Phenomena Related to Ordering Problems in Quantizations
Yoshiaki Maeda1 ; Naoya Miyazaki1 ; Hideki Omori2 ; Akira Yoshioka3, 4, 5
1Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokahama, 23-8522, Japan
2Dept. of Mathematics, Tokyo University of Science, Noda, Chiba, 278-8510, Japan
3Dept. of Mathematics, Tokyo University of Science, Kagurazaka, Tokyo, 102-8601, Japan
4We 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.
5[
Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 481-510 
Yoshiaki Maeda; Naoya Miyazaki; Hideki Omori; Akira Yoshioka. Strange Phenomena Related to Ordering Problems in Quantizations. Journal of Lie Theory, Tome 13 (2003) no. 2, pp. 481-510. http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a10/
@article{JOLT_2003_13_2_a10,
     author = {Yoshiaki Maeda and Naoya Miyazaki and Hideki Omori and Akira Yoshioka},
     title = {Strange {Phenomena} {Related} to {Ordering} {Problems} in {Quantizations}},
     journal = {Journal of Lie Theory},
     pages = {481--510},
     year = {2003},
     volume = {13},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_2_a10/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

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.