论文标题
有限生成的简单谎言代数的增长
Growth of finitely generated simple Lie algebras
论文作者
论文摘要
我们意识到任何近乎义务的增长功能,这等同于自身的多项式比例,这是有限生成的简单谎言代数的生长函数。作为应用程序,我们解决了彼得格拉德斯基在中间生长的谎言代数上提出的两个开放问题。
We realize any submultiplicative increasing function which is equivalent to a polynomial proportion of itself as the growth function of a finitely generated simple Lie algebra. As an application, we resolve two open problems posed by Petrogradsky on Lie algebras with intermediate growth.