Infinite-Dimensional Grade Star Representations of the osp (2,l) and spl(2,l) Superalgebras |
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| Authors: | Yong-Qing CHEN Xiao-Hui LIU Xing-Chang SONG |
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| Affiliation: | 1. Department of Physics, Huizhou Normal School, Huizhou 516001, China;2. Department of Mathematics, Huizhou Normal School, Huizhou 516001, China;3. Department of Physics, Peking University, Beijing 100871, China |
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| Abstract: | ![]()
A grade adjoint operation for the boson and fermion operators is considered. A graded bosonfermion algebra is constructed. Explicit expressions for the generators of the osp(2,l) and spl(2,l) superalgebras in terms of suitable pairs of graded boson and fermion operators are given. Infinite-dimensional grade star representations are obtained. |
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