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arXiv · 2006.14504

Growth of finitely generated simple Lie algebras

Be'eri Greenfeld
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Abstract

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.

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Be'eri Greenfeld. 2020-07-04. Growth of finitely generated simple Lie algebras. https://arxiv.org/abs/2006.14504

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