Typical irreducible characters of generalized quantum groups
Typical irreducible characters of generalized quantum groups
复制标题
广义量子群的典型不可约特征
DOI：
10.1142/s0219498821400144
复制
发表时间：
2020
影响因子：
0.8
通讯作者：
Yamane Hiroyuki
中科院分区：
文献类型：
--
作者：
Lin Hongda;Yamane Hiroyuki;Zhang Honglian;Yamane Hiroyuki
引入了广义量子群的典型不可约模的定义，并证明了它们的特征标的Weyl-Kac型公式。作为副产品，我们得到了与基本经典李超代数相关联的量子超代数的典型不可约模的Weyl-Kac型特征标公式，这在引言中有解释。
We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl–Kac-type formulas of their characters. As a by-product, we obtain the Weyl–Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.