Formulae of ı-divided powers in Uq(sl2) , III
Formulae of ı-divided powers in Uq(sl2) , III
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Uq(sl2) , III 中的 ä± 幂公式
DOI：
10.1016/j.jalgebra.2022.12.001
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发表时间：
2023
影响因子：
0.9
通讯作者：
Wang, Weiqiang
中科院分区：
文献类型：
--
作者：
Chen, Xinhong;Wang, Weiqiang
Theı-divided幂（取决于奇偶性）形成了拆分秩1ıquantum组的theıcanonical基，它们是更高秩的forıquantum组的基本成分。我们得到了theı-divided幂乘法的结构常数的封闭公式。还得到了theı-divided次幂乘法的封闭公式。这些结构常数是正整数。
Theı-divided powers (depending on a parity) form theıcanonical basis for the split rank 1ıquantum group and they are a basic ingredient forıquantum groups of higher rank. We obtain closed formulae for the structure constants for multiplication of theı-divided powers. Closed formulae for the comultiplication of theı-divided powers are also obtained. These structure constants are integral and positive.