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Embedding Q-deformed Heisenberg algebras into undeformed ones |
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| Institution: | 1. Blood Diseases Institute, Xuzhou Medical University, Xuzhou 221002, China;2. Department of Hematology, The Affiliated Hospital of Xuzhou Medical University, Xuzhou 221002, China;3. Key Laboratory of Bone Marrow Stem Cell, Xuzhou, Jiangsu Province 221002, China;4. Department of Clinical Laboratory, The Affiliated Hospital of Xuzhou Medical University, Xuzhou 221002, China;5. Department of Hematology, Tengzhou Central People''s Hospital, Tengzhou 277500, China |
| Abstract: | Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. Here we briefly describe and motivate our systematic procedure for constructing all such changes of generators for those particular deformations where the original algebra is covariant under some Lie group and the deformed algebra is covariant under the corresponding quantum group. |
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