Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (2): 256-0262.
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WU Qingyun, TAN Yilan, XIA Limeng
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Abstract: The structural problem of simple weight modules with a one-dimensional weight space in the quantum Loop algebra Uq(L(sl2)) was solved by using a construction method, and it was obtained that any simple weight module with a one-dimensional weight space must be isomorphic to one of the four classes of simple weight modules of Uq(L(sl2)). In addition, a class of simple weight modules of the quantum Loop algebra Uq(L(sl2)) with weight space dimension of 2, which was neither the highest weight nor the lowest weight, was constructed.
Key words: quantum Loop algebra, weight module, simple module, Dense module
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WU Qingyun, TAN Yilan, XIA Limeng. Simple Weight Modules of Quantum Loop Algebra Uq(L(sl2))[J].Journal of Jilin University Science Edition, 2024, 62(2): 256-0262.
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