On the q-Deformation of Heisenberg Algebra |
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| Authors: | HOU Boyuan XU Lianchao ZHOU Shanyou |
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| Affiliation: | 1. Department of Physics, Graduate School, Academia Sinica, P.O. Box 3908, Beijing 100039,.China;2. Department of Mathematics, Graduate School of University of Science & Technology of China,P.O. Box 3908, Beijing 100039, China |
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| Abstract: | This paper deals with a class of q-deformations of Heisenberg algebra which contains the q-Heisenberg algebra, the q-oscillator algebra and others. Their representation theory is considered for q being generic or a root of 1. Finally, the structure of Hopf algebra in a quotient algebra is also discussed. |
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| Keywords: | q-deformation q-Heisenberg algebra q-oscillator algebra |
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