Existence of a closed star product |
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| Authors: | Hideki Omori Yoshiaki Maeda Akira Yoshioka |
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| Institution: | (1) Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo, Noda, 278 Chiba, Japan;(2) Department of Mathematics, Faculty of Science and Technology, Keio University, 223 Hiyoshi Yokohama, Japan |
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| Abstract: | On any symplectic manifold, we show the existence of a closed star product by constructing a Weyl manifold. There is also an involutive anti-automorphism on a Weyl manifold. By using this, a complexification relating to a quaternion ring is given. |
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| Keywords: | 70H15 58B30 81S30 |
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