Growth of finitely generated simple Lie algebras

Growth of finitely generated simple Lie algebras
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有限生成的简单李代数的增长

DOI:
10.1090/proc/15266
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发表时间:
2020
影响因子:
1
通讯作者:
Be'eri Greenfeld
Be'eri Greenfeld
中科院分区:
数学3区
文献类型:
--
作者:
Be'eri Greenfeld

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我们认识到,对于一个有限生成的简单李代数,任何次乘法递增函数都等价于其自身的多项式比例。作为应用,我们解决了Petrogradsky关于中间增长李代数的两个开放问题。
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.
DOI: 10.4007/annals.2018.187.3.2
发表时间: 2016-01
期刊: arXiv: Group Theory
影响因子: --
作者:
V. Nekrashevych
通讯作者: V. Nekrashevych