
Journal of Lie Theory 13 (2003), No. 2, 481510 Copyright Heldermann Verlag 2003 Strange Phenomena Related to Ordering Problems in Quantizations Yoshiaki Maeda Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokahama, 238522, Japan Naoya Miyazaki Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokahama, 238522, Japan Hideki Omori Dept. of Mathematics, Tokyo University of Science, Noda, Chiba, 2788510, Japan Akira Yoshioka Dept. of Mathematics, Tokyo University of Science, Kagurazaka, Tokyo, 1028601, Japan 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. [ Fulltextpdf (335 KB)] for subscribers only. 