论文标题
通过伪孔操作员实现高维的谎言代数
Realization of Lie algebras of high dimension via pseudo-bosonic operators
论文作者
论文摘要
本文是一系列作品的第三个贡献，我们研究了伪验操作员及其与有限维度谎言代数的联系。我们表明，所有有限的尺寸nilpotent Lie代数（在复杂场上）都可以通过伪波体算子的Lie代数的中央扩展来实现。该结果很有趣，因为它为任何维度的nilpotent Lie代数提供了动态系统的新示例。人们可以问这些操作员是否具有固定性的概念，但这是错误的。实际上，我们同时既有一个简单的谎言代数，又可以解决一个可解决的非智力谎言代数，该代数可以用伪 - 孔子运营商来实现。
The present paper is the third contribution of a series of works, where we investigate pseudo--bosonic operators and their connections with finite dimensional Lie algebras. We show that all finite dimensional nilpotent Lie algebras (over the complex field) can be realized by central extensions of Lie algebras of pseudo-bosonic operators. This result is interesting, because it provides new examples of dynamical systems for nilpotent Lie algebras of any dimension. One could ask whether these operators are intrinsic with the notion of nilpotence or not, but this is false. In fact we exibit both a simple Lie algebra and a solvable nonnilpotent Lie algebra, which can be realized in terms of pseudo-bosonic operators.
