Formulae of ?-divided powers in Uq(sl2), III

被引：1
|
作者：
Chen, Xinhong [1 ]
Wang, Weiqiang [2 ]
机构：
[1] Southwest Jiaotong Univ, Dept Math, Chengdu 611756, Sichuan, Peoples R China
[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
来源：
JOURNAL OF ALGEBRA | 2023年 / 619卷
基金：
中国国家自然科学基金;
关键词：
quantum groups; -divided powers; SYMMETRIC PAIRS;
D O I：
10.1016/j.jalgebra.2022.12.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The z -divided powers (depending on a parity) form the zcanonical basis for the split rank 1 zquantum group and they are a basic ingredient for zquantum groups of higher rank. We obtain closed formulae for the structure constants for multiplication of the z -divided powers. Closed formulae for the comultiplication of the z -divided powers are also obtained. These structure constants are integral and positive.(c) 2022 Elsevier Inc. All rights reserved.
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页码：221 / 248
页数：28
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