Journal of Lie Theory
Vol. 13, No. 2, pp. 481--510 (2003)
Strange phenomena related to ordering problems in quantizations
Hideki Omori, Yoshiaki Maeda, Naoya Miyazaki, and Akira YoshiokaH. Omori
Department of Mathematics, Tokyo University of Science,
Noda, Chiba, 278-8510, Japan.
Department of Mathematics, Faculty of Science and Technology,
Keio University, Hiyoshi,
Yokohama, 223-8522, Japan
Department of Mathematics, Faculty of Economics
Keio University, Hiyoshi, Yokohama, 223-8521, Japan
Department of Mathematics, Tokyo University of Science, Kagurazaka,
Tokyo, 102-8601, Japan.
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.
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Electronic version published on: 26 May 2003. This page was last modified: 14 Aug 2003.