Journal of Lie Theory 13 (2003), No. 2, 481--510
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, 23-8522, Japan
Naoya Miyazaki
Dept. of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi, Yokahama, 23-8522, Japan
Hideki Omori
Dept. of Mathematics, Tokyo University of Science, Noda, Chiba, 278-8510, Japan
Akira Yoshioka
Dept. of Mathematics, Tokyo University of Science, Kagurazaka, Tokyo, 102-8601, 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.
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