Gelfand–Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules
Gelfand–Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules
复制标题
标量广义Verma模的Gelfand-Kirillov维数和可约性
DOI：
10.1007/s10114-019-9069-y
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
肖维
中科院分区：
文献类型：
--
作者：
白占强;肖维
Gelfand-Kirillov维是一种度量无限维代数结构大小的不变量。在本文中，我们证明了它还可以度量标量广义Verma模的可约性。特别地，我们利用它来确定与极大抛物子代数相关的标量广义Verma模在Hermite对称情形下的可约性。
The Gelfand-Kirillov dimension is an invariant which can measure the size of infinite-dimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized Verma modules. In particular, we use it to determine the reducibility of scalar generalized Verma modules associated with maximal parabolic subalgebras in the Hermitian symmetric case.