Journal of Lie Theory Vol. 13, No. 2, pp. 481510 (2003) 

Strange phenomena related to ordering problems in quantizationsHideki Omori, Yoshiaki Maeda, Naoya Miyazaki, and Akira YoshiokaH. OmoriDepartment of Mathematics, Tokyo University of Science, Noda, Chiba, 2788510, Japan. omori@ma.noda.tus.ac.jp Y. Maeda Department of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokohama, 2238522, Japan maeda@math.keio.ac.jp, N. Miyazaki Department of Mathematics, Faculty of Economics Keio University, Hiyoshi, Yokohama, 2238521, Japan miyazaki@math.hc.keio.ac.jp, and A. Yoshioka Department of Mathematics, Tokyo University of Science, Kagurazaka, Tokyo, 1028601, Japan. yoshioka@rs.kagu.sut.ac.jp Abstract: 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. Full text of the article:
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