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| 摘要: |
| 本文研究了勒纳德对的构造问题.利用量子代数νq（sl2）的有限维既约表示，获得了一系列的勒纳德对，并讨论了它们的分类.为进一步研究勒纳德三元组提供了帮助. |
| 关键词: 勒纳德对 量子代数 既约表示 分裂基 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by National Natural Science Foundation of China (11401282); NSF of Hebei Province (A2018408046) and Science Foundation for the Excellent Youth Scholars of Hebei Education Department (YQ2014018). |
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| LEONARD PAIRS CONSTRUCTED FROM THE QUANTUM ALGEBRA νq(sl2) |
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LIU Jun-li,XU Qiu-li,JIANG Wei
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| Abstract: |
| In this paper, we study the construction of Leonard pairs. By using the finite dimensional irreducible representations of quantum algebra νq(sl2), we get Leonard pairs, and give the classification of Leonard pairs, which provide more help in studying Leonard triples. |
| Key words: Leonard pair quantum algebra irreducible representation split basis |
