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Growth of finitely generated simple Lie algebras

2020/06/25 by Greenfeld, Be'eri
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2006.14504

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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