Center of Schrödinger algebra and annihilators of Verma modules for Schrödinger algebra

Center of Schrödinger algebra and annihilators of Verma modules for Schrödinger algebra
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DOI:
10.1016/j.laa.2012.01.015
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发表时间:
2012-07
影响因子:
1.1
通讯作者:
Yuezhu Wu;Linsheng Zhu
Yuezhu Wu;Linsheng Zhu
中科院分区:
数学3区
文献类型:
--
作者:
Yuezhu Wu;Linsheng Zhu

文献摘要

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设C是薛定谔代数S(1)的中心.证明了泛包络代数U(S(1))的中心是U(C).我们还刻画了S(1)的不可约Verma模的零化子.
Let C be the center of the Schrödinger algebra S(1). We prove that the center of the universal enveloping algebra U(S(1)) is U(C). We also characterize the annihilators of the irreducible Verma modules of S(1).